What is the Greatest Common Factor of 37968 and 37985?

Greatest common factor (GCF) of 37968 and 37985 is 1.

GCF(37968,37985) = 1

We will now calculate the prime factors of 37968 and 37985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37968 and 37985.

How to find the GCF of 37968 and 37985?

We will first find the prime factorization of 37968 and 37985. After we will calculate the factors of 37968 and 37985 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 37985

Prime factors of 37985 are 5, 71, 107. Prime factorization of 37985 in exponential form is:

37985 = 5¹ × 71¹ × 107¹

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 37985

List of positive integer factors of 37985 that divides 37968 without a remainder.

1, 5, 71, 107, 355, 535, 7597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37968 and 37985. The biggest common factor number is the GCF number.
So the greatest common factor 37968 and 37985 is 1.

Also check out the Least Common Multiple of 37968 and 37985