What is the Greatest Common Factor of 31620 and 31637?

Greatest common factor (GCF) of 31620 and 31637 is 17.

GCF(31620,31637) = 17

We will now calculate the prime factors of 31620 and 31637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31620 and 31637.

How to find the GCF of 31620 and 31637?

We will first find the prime factorization of 31620 and 31637. After we will calculate the factors of 31620 and 31637 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31637

Prime factors of 31637 are 17, 1861. Prime factorization of 31637 in exponential form is:

31637 = 17¹ × 1861¹

Step-3: Factors of 31620

List of positive integer factors of 31620 that divides 31620 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

Step-4: Factors of 31637

List of positive integer factors of 31637 that divides 31620 without a remainder.

1, 17, 1861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31620 and 31637. The biggest common factor number is the GCF number.
So the greatest common factor 31620 and 31637 is 17.

Also check out the Least Common Multiple of 31620 and 31637