What is the Greatest Common Factor of 31620 and 31629?

Greatest common factor (GCF) of 31620 and 31629 is 3.

GCF(31620,31629) = 3

We will now calculate the prime factors of 31620 and 31629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31620 and 31629.

How to find the GCF of 31620 and 31629?

We will first find the prime factorization of 31620 and 31629. After we will calculate the factors of 31620 and 31629 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 31629

Prime factors of 31629 are 3, 13, 811. Prime factorization of 31629 in exponential form is:

31629 = 3¹ × 13¹ × 811¹

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 31629

List of positive integer factors of 31629 that divides 31620 without a remainder.

1, 3, 13, 39, 811, 2433, 10543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31620 and 31629. The biggest common factor number is the GCF number.
So the greatest common factor 31620 and 31629 is 3.

Also check out the Least Common Multiple of 31620 and 31629