What is the Greatest Common Factor of 37968 and 37979?

Greatest common factor (GCF) of 37968 and 37979 is 1.

GCF(37968,37979) = 1

We will now calculate the prime factors of 37968 and 37979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37968 and 37979.

How to find the GCF of 37968 and 37979?

We will first find the prime factorization of 37968 and 37979. After we will calculate the factors of 37968 and 37979 and find the biggest common factor number .

Step-1: Prime Factorization of 37968

Prime factors of 37968 are 2, 3, 7, 113. Prime factorization of 37968 in exponential form is:

37968 = 2⁴ × 3¹ × 7¹ × 113¹

Step-2: Prime Factorization of 37979

Prime factors of 37979 are 163, 233. Prime factorization of 37979 in exponential form is:

37979 = 163¹ × 233¹

Step-3: Factors of 37968

List of positive integer factors of 37968 that divides 37968 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 113, 168, 226, 336, 339, 452, 678, 791, 904, 1356, 1582, 1808, 2373, 2712, 3164, 4746, 5424, 6328, 9492, 12656, 18984

Step-4: Factors of 37979

List of positive integer factors of 37979 that divides 37968 without a remainder.

1, 163, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37968 and 37979. The biggest common factor number is the GCF number.
So the greatest common factor 37968 and 37979 is 1.

Also check out the Least Common Multiple of 37968 and 37979