What is the Greatest Common Factor of 31360 and 31374?

Greatest common factor (GCF) of 31360 and 31374 is 14.

GCF(31360,31374) = 14

We will now calculate the prime factors of 31360 and 31374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31360 and 31374.

How to find the GCF of 31360 and 31374?

We will first find the prime factorization of 31360 and 31374. After we will calculate the factors of 31360 and 31374 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 31374

Prime factors of 31374 are 2, 3, 7, 83. Prime factorization of 31374 in exponential form is:

31374 = 2¹ × 3³ × 7¹ × 83¹

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 31374

List of positive integer factors of 31374 that divides 31360 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 83, 126, 166, 189, 249, 378, 498, 581, 747, 1162, 1494, 1743, 2241, 3486, 4482, 5229, 10458, 15687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31360 and 31374. The biggest common factor number is the GCF number.
So the greatest common factor 31360 and 31374 is 14.

Also check out the Least Common Multiple of 31360 and 31374