What is the Greatest Common Factor of 15372 and 15392?

Greatest common factor (GCF) of 15372 and 15392 is 4.

GCF(15372,15392) = 4

We will now calculate the prime factors of 15372 and 15392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15372 and 15392.

How to find the GCF of 15372 and 15392?

We will first find the prime factorization of 15372 and 15392. After we will calculate the factors of 15372 and 15392 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 15392

Prime factors of 15392 are 2, 13, 37. Prime factorization of 15392 in exponential form is:

15392 = 2⁵ × 13¹ × 37¹

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 15392

List of positive integer factors of 15392 that divides 15372 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 37, 52, 74, 104, 148, 208, 296, 416, 481, 592, 962, 1184, 1924, 3848, 7696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15372 and 15392. The biggest common factor number is the GCF number.
So the greatest common factor 15372 and 15392 is 4.

Also check out the Least Common Multiple of 15372 and 15392