What is the Greatest Common Factor of 51630 and 51635?

Greatest common factor (GCF) of 51630 and 51635 is 5.

GCF(51630,51635) = 5

We will now calculate the prime factors of 51630 and 51635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51630 and 51635.

How to find the GCF of 51630 and 51635?

We will first find the prime factorization of 51630 and 51635. After we will calculate the factors of 51630 and 51635 and find the biggest common factor number .

Step-1: Prime Factorization of 51630

Prime factors of 51630 are 2, 3, 5, 1721. Prime factorization of 51630 in exponential form is:

51630 = 2¹ × 3¹ × 5¹ × 1721¹

Step-2: Prime Factorization of 51635

Prime factors of 51635 are 5, 23, 449. Prime factorization of 51635 in exponential form is:

51635 = 5¹ × 23¹ × 449¹

Step-3: Factors of 51630

List of positive integer factors of 51630 that divides 51630 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1721, 3442, 5163, 8605, 10326, 17210, 25815

Step-4: Factors of 51635

List of positive integer factors of 51635 that divides 51630 without a remainder.

1, 5, 23, 115, 449, 2245, 10327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51630 and 51635. The biggest common factor number is the GCF number.
So the greatest common factor 51630 and 51635 is 5.

Also check out the Least Common Multiple of 51630 and 51635