What is the Greatest Common Factor of 620 and 630?

Greatest common factor (GCF) of 620 and 630 is 10.

GCF(620,630) = 10

We will now calculate the prime factors of 620 and 630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 620 and 630.

How to find the GCF of 620 and 630?

We will first find the prime factorization of 620 and 630. After we will calculate the factors of 620 and 630 and find the biggest common factor number .

Step-1: Prime Factorization of 620

Prime factors of 620 are 2, 5, 31. Prime factorization of 620 in exponential form is:

620 = 2² × 5¹ × 31¹

Step-2: Prime Factorization of 630

Prime factors of 630 are 2, 3, 5, 7. Prime factorization of 630 in exponential form is:

630 = 2¹ × 3² × 5¹ × 7¹

Step-3: Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310

Step-4: Factors of 630

List of positive integer factors of 630 that divides 620 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 620 and 630. The biggest common factor number is the GCF number.
So the greatest common factor 620 and 630 is 10.

Also check out the Least Common Multiple of 620 and 630