What is the Greatest Common Factor of 31920 and 31937?

Greatest common factor (GCF) of 31920 and 31937 is 1.

GCF(31920,31937) = 1

We will now calculate the prime factors of 31920 and 31937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31920 and 31937.

How to find the GCF of 31920 and 31937?

We will first find the prime factorization of 31920 and 31937. After we will calculate the factors of 31920 and 31937 and find the biggest common factor number .

Step-1: Prime Factorization of 31920

Prime factors of 31920 are 2, 3, 5, 7, 19. Prime factorization of 31920 in exponential form is:

31920 = 2⁴ × 3¹ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 31937

Prime factors of 31937 are 109, 293. Prime factorization of 31937 in exponential form is:

31937 = 109¹ × 293¹

Step-3: Factors of 31920

List of positive integer factors of 31920 that divides 31920 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 19, 20, 21, 24, 28, 30, 35, 38, 40, 42, 48, 56, 57, 60, 70, 76, 80, 84, 95, 105, 112, 114, 120, 133, 140, 152, 168, 190, 210, 228, 240, 266, 280, 285, 304, 336, 380, 399, 420, 456, 532, 560, 570, 665, 760, 798, 840, 912, 1064, 1140, 1330, 1520, 1596, 1680, 1995, 2128, 2280, 2660, 3192, 3990, 4560, 5320, 6384, 7980, 10640, 15960

Step-4: Factors of 31937

List of positive integer factors of 31937 that divides 31920 without a remainder.

1, 109, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31920 and 31937. The biggest common factor number is the GCF number.
So the greatest common factor 31920 and 31937 is 1.

Also check out the Least Common Multiple of 31920 and 31937