What is the Greatest Common Factor of 37696 and 37705?

Greatest common factor (GCF) of 37696 and 37705 is 1.

GCF(37696,37705) = 1

We will now calculate the prime factors of 37696 and 37705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37696 and 37705.

How to find the GCF of 37696 and 37705?

We will first find the prime factorization of 37696 and 37705. After we will calculate the factors of 37696 and 37705 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 37705

Prime factors of 37705 are 5, 7541. Prime factorization of 37705 in exponential form is:

37705 = 5¹ × 7541¹

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 37705

List of positive integer factors of 37705 that divides 37696 without a remainder.

1, 5, 7541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37696 and 37705. The biggest common factor number is the GCF number.
So the greatest common factor 37696 and 37705 is 1.

Also check out the Least Common Multiple of 37696 and 37705