What is the Greatest Common Factor of 31620 and 31632?

Greatest common factor (GCF) of 31620 and 31632 is 12.

GCF(31620,31632) = 12

We will now calculate the prime factors of 31620 and 31632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31620 and 31632.

How to find the GCF of 31620 and 31632?

We will first find the prime factorization of 31620 and 31632. After we will calculate the factors of 31620 and 31632 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 31632

Prime factors of 31632 are 2, 3, 659. Prime factorization of 31632 in exponential form is:

31632 = 2⁴ × 3¹ × 659¹

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 31632

List of positive integer factors of 31632 that divides 31620 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 659, 1318, 1977, 2636, 3954, 5272, 7908, 10544, 15816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31620 and 31632. The biggest common factor number is the GCF number.
So the greatest common factor 31620 and 31632 is 12.

Also check out the Least Common Multiple of 31620 and 31632