What is the Greatest Common Factor of 88629 and 88635?

Greatest common factor (GCF) of 88629 and 88635 is 3.

GCF(88629,88635) = 3

We will now calculate the prime factors of 88629 and 88635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88629 and 88635.

How to find the GCF of 88629 and 88635?

We will first find the prime factorization of 88629 and 88635. After we will calculate the factors of 88629 and 88635 and find the biggest common factor number .

Step-1: Prime Factorization of 88629

Prime factors of 88629 are 3, 31, 953. Prime factorization of 88629 in exponential form is:

88629 = 3¹ × 31¹ × 953¹

Step-2: Prime Factorization of 88635

Prime factors of 88635 are 3, 5, 19, 311. Prime factorization of 88635 in exponential form is:

88635 = 3¹ × 5¹ × 19¹ × 311¹

Step-3: Factors of 88629

List of positive integer factors of 88629 that divides 88629 without a remainder.

1, 3, 31, 93, 953, 2859, 29543

Step-4: Factors of 88635

List of positive integer factors of 88635 that divides 88629 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 311, 933, 1555, 4665, 5909, 17727, 29545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88629 and 88635. The biggest common factor number is the GCF number.
So the greatest common factor 88629 and 88635 is 3.

Also check out the Least Common Multiple of 88629 and 88635