What is the Greatest Common Factor of 37960 and 37968?

Greatest common factor (GCF) of 37960 and 37968 is 8.

GCF(37960,37968) = 8

We will now calculate the prime factors of 37960 and 37968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37960 and 37968.

How to find the GCF of 37960 and 37968?

We will first find the prime factorization of 37960 and 37968. After we will calculate the factors of 37960 and 37968 and find the biggest common factor number .

Step-1: Prime Factorization of 37960

Prime factors of 37960 are 2, 5, 13, 73. Prime factorization of 37960 in exponential form is:

37960 = 2³ × 5¹ × 13¹ × 73¹

Step-2: 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-3: Factors of 37960

List of positive integer factors of 37960 that divides 37960 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 73, 104, 130, 146, 260, 292, 365, 520, 584, 730, 949, 1460, 1898, 2920, 3796, 4745, 7592, 9490, 18980

Step-4: Factors of 37968

List of positive integer factors of 37968 that divides 37960 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37960 and 37968. The biggest common factor number is the GCF number.
So the greatest common factor 37960 and 37968 is 8.

Also check out the Least Common Multiple of 37960 and 37968