What is the Greatest Common Factor of 88614 and 88629?

Greatest common factor (GCF) of 88614 and 88629 is 3.

GCF(88614,88629) = 3

We will now calculate the prime factors of 88614 and 88629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88614 and 88629.

How to find the GCF of 88614 and 88629?

We will first find the prime factorization of 88614 and 88629. After we will calculate the factors of 88614 and 88629 and find the biggest common factor number .

Step-1: Prime Factorization of 88614

Prime factors of 88614 are 2, 3, 547. Prime factorization of 88614 in exponential form is:

88614 = 2¹ × 3⁴ × 547¹

Step-2: 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-3: Factors of 88614

List of positive integer factors of 88614 that divides 88614 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 547, 1094, 1641, 3282, 4923, 9846, 14769, 29538, 44307

Step-4: Factors of 88629

List of positive integer factors of 88629 that divides 88614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88614 and 88629. The biggest common factor number is the GCF number.
So the greatest common factor 88614 and 88629 is 3.

Also check out the Least Common Multiple of 88614 and 88629