What is the Greatest Common Factor of 37696 and 37715?

Greatest common factor (GCF) of 37696 and 37715 is 19.

GCF(37696,37715) = 19

We will now calculate the prime factors of 37696 and 37715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37696 and 37715.

How to find the GCF of 37696 and 37715?

We will first find the prime factorization of 37696 and 37715. After we will calculate the factors of 37696 and 37715 and find the biggest common factor number .

Step-1: Prime Factorization of 37696

Prime factors of 37696 are 2, 19, 31. Prime factorization of 37696 in exponential form is:

37696 = 2⁶ × 19¹ × 31¹

Step-2: Prime Factorization of 37715

Prime factors of 37715 are 5, 19, 397. Prime factorization of 37715 in exponential form is:

37715 = 5¹ × 19¹ × 397¹

Step-3: Factors of 37696

List of positive integer factors of 37696 that divides 37696 without a remainder.

1, 2, 4, 8, 16, 19, 31, 32, 38, 62, 64, 76, 124, 152, 248, 304, 496, 589, 608, 992, 1178, 1216, 1984, 2356, 4712, 9424, 18848

Step-4: Factors of 37715

List of positive integer factors of 37715 that divides 37696 without a remainder.

1, 5, 19, 95, 397, 1985, 7543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37696 and 37715. The biggest common factor number is the GCF number.
So the greatest common factor 37696 and 37715 is 19.

Also check out the Least Common Multiple of 37696 and 37715