What is the Greatest Common Factor of 31360 and 31372?

Greatest common factor (GCF) of 31360 and 31372 is 4.

GCF(31360,31372) = 4

We will now calculate the prime factors of 31360 and 31372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31360 and 31372.

How to find the GCF of 31360 and 31372?

We will first find the prime factorization of 31360 and 31372. After we will calculate the factors of 31360 and 31372 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 31372

Prime factors of 31372 are 2, 11, 23, 31. Prime factorization of 31372 in exponential form is:

31372 = 2² × 11¹ × 23¹ × 31¹

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 31372

List of positive integer factors of 31372 that divides 31360 without a remainder.

1, 2, 4, 11, 22, 23, 31, 44, 46, 62, 92, 124, 253, 341, 506, 682, 713, 1012, 1364, 1426, 2852, 7843, 15686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31360 and 31372. The biggest common factor number is the GCF number.
So the greatest common factor 31360 and 31372 is 4.

Also check out the Least Common Multiple of 31360 and 31372