\[15,25,40\]

Method 1: By Listing Factors
1
List the factors of each number.
Factors of 15
: 1, 3, 5, 15
Factors of 25
: 1, 5, 25
Factors of 40
: 1, 2, 4, 5, 8, 10, 20, 40
2
Find the largest number that is shared by all rows above. This is the GCF.
GCF = 55

Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 15
: 3, 5
Prime Factors of 25
: 5, 5
Prime Factors of 40
: 2, 2, 2, 5
2
Find the intersection of these primes.
55

3
The intersection contains only one number. Therefore, this is the GCF.
GCF = 55

Done

How can we make this solution more helpful?