What is the Greatest Common Factor of 31360 and 31376?

Greatest common factor (GCF) of 31360 and 31376 is 16.

GCF(31360,31376) = 16

We will now calculate the prime factors of 31360 and 31376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31360 and 31376.

How to find the GCF of 31360 and 31376?

We will first find the prime factorization of 31360 and 31376. After we will calculate the factors of 31360 and 31376 and find the biggest common factor number .

Step-1: Prime Factorization of 31360

Prime factors of 31360 are 2, 5, 7. Prime factorization of 31360 in exponential form is:

31360 = 2⁷ × 5¹ × 7²

Step-2: Prime Factorization of 31376

Prime factors of 31376 are 2, 37, 53. Prime factorization of 31376 in exponential form is:

31376 = 2⁴ × 37¹ × 53¹

Step-3: Factors of 31360

List of positive integer factors of 31360 that divides 31360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 64, 70, 80, 98, 112, 128, 140, 160, 196, 224, 245, 280, 320, 392, 448, 490, 560, 640, 784, 896, 980, 1120, 1568, 1960, 2240, 3136, 3920, 4480, 6272, 7840, 15680

Step-4: Factors of 31376

List of positive integer factors of 31376 that divides 31360 without a remainder.

1, 2, 4, 8, 16, 37, 53, 74, 106, 148, 212, 296, 424, 592, 848, 1961, 3922, 7844, 15688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31360 and 31376. The biggest common factor number is the GCF number.
So the greatest common factor 31360 and 31376 is 16.

Also check out the Least Common Multiple of 31360 and 31376