What is the Greatest Common Factor of 79620 and 79635?

Greatest common factor (GCF) of 79620 and 79635 is 15.

GCF(79620,79635) = 15

We will now calculate the prime factors of 79620 and 79635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79620 and 79635.

How to find the GCF of 79620 and 79635?

We will first find the prime factorization of 79620 and 79635. After we will calculate the factors of 79620 and 79635 and find the biggest common factor number .

Step-1: Prime Factorization of 79620

Prime factors of 79620 are 2, 3, 5, 1327. Prime factorization of 79620 in exponential form is:

79620 = 2² × 3¹ × 5¹ × 1327¹

Step-2: Prime Factorization of 79635

Prime factors of 79635 are 3, 5, 5309. Prime factorization of 79635 in exponential form is:

79635 = 3¹ × 5¹ × 5309¹

Step-3: Factors of 79620

List of positive integer factors of 79620 that divides 79620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1327, 2654, 3981, 5308, 6635, 7962, 13270, 15924, 19905, 26540, 39810

Step-4: Factors of 79635

List of positive integer factors of 79635 that divides 79620 without a remainder.

1, 3, 5, 15, 5309, 15927, 26545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79620 and 79635. The biggest common factor number is the GCF number.
So the greatest common factor 79620 and 79635 is 15.

Also check out the Least Common Multiple of 79620 and 79635