What is the Greatest Common Factor of 31920 and 31933?

Greatest common factor (GCF) of 31920 and 31933 is 1.

GCF(31920,31933) = 1

We will now calculate the prime factors of 31920 and 31933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31920 and 31933.

How to find the GCF of 31920 and 31933?

We will first find the prime factorization of 31920 and 31933. After we will calculate the factors of 31920 and 31933 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 31933

Prime factors of 31933 are 11, 2903. Prime factorization of 31933 in exponential form is:

31933 = 11¹ × 2903¹

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 31933

List of positive integer factors of 31933 that divides 31920 without a remainder.

1, 11, 2903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31920 and 31933. The biggest common factor number is the GCF number.
So the greatest common factor 31920 and 31933 is 1.

Also check out the Least Common Multiple of 31920 and 31933