What is the Greatest Common Factor of 79630 and 79640?

Greatest common factor (GCF) of 79630 and 79640 is 10.

GCF(79630,79640) = 10

We will now calculate the prime factors of 79630 and 79640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79630 and 79640.

How to find the GCF of 79630 and 79640?

We will first find the prime factorization of 79630 and 79640. After we will calculate the factors of 79630 and 79640 and find the biggest common factor number .

Step-1: Prime Factorization of 79630

Prime factors of 79630 are 2, 5, 7963. Prime factorization of 79630 in exponential form is:

79630 = 2¹ × 5¹ × 7963¹

Step-2: Prime Factorization of 79640

Prime factors of 79640 are 2, 5, 11, 181. Prime factorization of 79640 in exponential form is:

79640 = 2³ × 5¹ × 11¹ × 181¹

Step-3: Factors of 79630

List of positive integer factors of 79630 that divides 79630 without a remainder.

1, 2, 5, 10, 7963, 15926, 39815

Step-4: Factors of 79640

List of positive integer factors of 79640 that divides 79630 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 181, 220, 362, 440, 724, 905, 1448, 1810, 1991, 3620, 3982, 7240, 7964, 9955, 15928, 19910, 39820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79630 and 79640. The biggest common factor number is the GCF number.
So the greatest common factor 79630 and 79640 is 10.

Also check out the Least Common Multiple of 79630 and 79640