What is the Greatest Common Factor of 79629 and 79635?

Greatest common factor (GCF) of 79629 and 79635 is 3.

GCF(79629,79635) = 3

We will now calculate the prime factors of 79629 and 79635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79629 and 79635.

How to find the GCF of 79629 and 79635?

We will first find the prime factorization of 79629 and 79635. After we will calculate the factors of 79629 and 79635 and find the biggest common factor number .

Step-1: Prime Factorization of 79629

Prime factors of 79629 are 3, 11, 19, 127. Prime factorization of 79629 in exponential form is:

79629 = 3¹ × 11¹ × 19¹ × 127¹

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 79629

List of positive integer factors of 79629 that divides 79629 without a remainder.

1, 3, 11, 19, 33, 57, 127, 209, 381, 627, 1397, 2413, 4191, 7239, 26543

Step-4: Factors of 79635

List of positive integer factors of 79635 that divides 79629 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79629 and 79635. The biggest common factor number is the GCF number.
So the greatest common factor 79629 and 79635 is 3.

Also check out the Least Common Multiple of 79629 and 79635