What is the Greatest Common Factor of 31614 and 31620?

Greatest common factor (GCF) of 31614 and 31620 is 6.

GCF(31614,31620) = 6

We will now calculate the prime factors of 31614 and 31620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31614 and 31620.

How to find the GCF of 31614 and 31620?

We will first find the prime factorization of 31614 and 31620. After we will calculate the factors of 31614 and 31620 and find the biggest common factor number .

Step-1: Prime Factorization of 31614

Prime factors of 31614 are 2, 3, 11, 479. Prime factorization of 31614 in exponential form is:

31614 = 2¹ × 3¹ × 11¹ × 479¹

Step-2: Prime Factorization of 31620

Prime factors of 31620 are 2, 3, 5, 17, 31. Prime factorization of 31620 in exponential form is:

31620 = 2² × 3¹ × 5¹ × 17¹ × 31¹

Step-3: Factors of 31614

List of positive integer factors of 31614 that divides 31614 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 479, 958, 1437, 2874, 5269, 10538, 15807

Step-4: Factors of 31620

List of positive integer factors of 31620 that divides 31614 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 31, 34, 51, 60, 62, 68, 85, 93, 102, 124, 155, 170, 186, 204, 255, 310, 340, 372, 465, 510, 527, 620, 930, 1020, 1054, 1581, 1860, 2108, 2635, 3162, 5270, 6324, 7905, 10540, 15810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31614 and 31620. The biggest common factor number is the GCF number.
So the greatest common factor 31614 and 31620 is 6.

Also check out the Least Common Multiple of 31614 and 31620