What is the Greatest Common Factor of 79639 and 79653?

Greatest common factor (GCF) of 79639 and 79653 is 7.

GCF(79639,79653) = 7

We will now calculate the prime factors of 79639 and 79653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79639 and 79653.

How to find the GCF of 79639 and 79653?

We will first find the prime factorization of 79639 and 79653. After we will calculate the factors of 79639 and 79653 and find the biggest common factor number .

Step-1: Prime Factorization of 79639

Prime factors of 79639 are 7, 31, 367. Prime factorization of 79639 in exponential form is:

79639 = 7¹ × 31¹ × 367¹

Step-2: Prime Factorization of 79653

Prime factors of 79653 are 3, 7, 3793. Prime factorization of 79653 in exponential form is:

79653 = 3¹ × 7¹ × 3793¹

Step-3: Factors of 79639

List of positive integer factors of 79639 that divides 79639 without a remainder.

1, 7, 31, 217, 367, 2569, 11377

Step-4: Factors of 79653

List of positive integer factors of 79653 that divides 79639 without a remainder.

1, 3, 7, 21, 3793, 11379, 26551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79639 and 79653. The biggest common factor number is the GCF number.
So the greatest common factor 79639 and 79653 is 7.

Also check out the Least Common Multiple of 79639 and 79653