What is the Greatest Common Factor of 70620 and 70631?

Greatest common factor (GCF) of 70620 and 70631 is 11.

GCF(70620,70631) = 11

We will now calculate the prime factors of 70620 and 70631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70620 and 70631.

How to find the GCF of 70620 and 70631?

We will first find the prime factorization of 70620 and 70631. After we will calculate the factors of 70620 and 70631 and find the biggest common factor number .

Step-1: Prime Factorization of 70620

Prime factors of 70620 are 2, 3, 5, 11, 107. Prime factorization of 70620 in exponential form is:

70620 = 2² × 3¹ × 5¹ × 11¹ × 107¹

Step-2: Prime Factorization of 70631

Prime factors of 70631 are 11, 6421. Prime factorization of 70631 in exponential form is:

70631 = 11¹ × 6421¹

Step-3: Factors of 70620

List of positive integer factors of 70620 that divides 70620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 107, 110, 132, 165, 214, 220, 321, 330, 428, 535, 642, 660, 1070, 1177, 1284, 1605, 2140, 2354, 3210, 3531, 4708, 5885, 6420, 7062, 11770, 14124, 17655, 23540, 35310

Step-4: Factors of 70631

List of positive integer factors of 70631 that divides 70620 without a remainder.

1, 11, 6421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70620 and 70631. The biggest common factor number is the GCF number.
So the greatest common factor 70620 and 70631 is 11.

Also check out the Least Common Multiple of 70620 and 70631