What is the Greatest Common Factor of 31602 and 31620?

Greatest common factor (GCF) of 31602 and 31620 is 6.

GCF(31602,31620) = 6

We will now calculate the prime factors of 31602 and 31620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31602 and 31620.

How to find the GCF of 31602 and 31620?

We will first find the prime factorization of 31602 and 31620. After we will calculate the factors of 31602 and 31620 and find the biggest common factor number .

Step-1: Prime Factorization of 31602

Prime factors of 31602 are 2, 3, 23, 229. Prime factorization of 31602 in exponential form is:

31602 = 2¹ × 3¹ × 23¹ × 229¹

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 31602

List of positive integer factors of 31602 that divides 31602 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 229, 458, 687, 1374, 5267, 10534, 15801

Step-4: Factors of 31620

List of positive integer factors of 31620 that divides 31602 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 31602 and 31620. The biggest common factor number is the GCF number.
So the greatest common factor 31602 and 31620 is 6.

Also check out the Least Common Multiple of 31602 and 31620