What is the Greatest Common Factor of 15372 and 15391?

Greatest common factor (GCF) of 15372 and 15391 is 1.

GCF(15372,15391) = 1

We will now calculate the prime factors of 15372 and 15391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15372 and 15391.

How to find the GCF of 15372 and 15391?

We will first find the prime factorization of 15372 and 15391. After we will calculate the factors of 15372 and 15391 and find the biggest common factor number .

Step-1: Prime Factorization of 15372

Prime factors of 15372 are 2, 3, 7, 61. Prime factorization of 15372 in exponential form is:

15372 = 2² × 3² × 7¹ × 61¹

Step-2: Prime Factorization of 15391

Prime factors of 15391 are 15391. Prime factorization of 15391 in exponential form is:

15391 = 15391¹

Step-3: Factors of 15372

List of positive integer factors of 15372 that divides 15372 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 61, 63, 84, 122, 126, 183, 244, 252, 366, 427, 549, 732, 854, 1098, 1281, 1708, 2196, 2562, 3843, 5124, 7686

Step-4: Factors of 15391

List of positive integer factors of 15391 that divides 15372 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15372 and 15391. The biggest common factor number is the GCF number.
So the greatest common factor 15372 and 15391 is 1.

Also check out the Least Common Multiple of 15372 and 15391