What is the Greatest Common Factor of 88614 and 88624?

Greatest common factor (GCF) of 88614 and 88624 is 2.

GCF(88614,88624) = 2

We will now calculate the prime factors of 88614 and 88624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88614 and 88624.

How to find the GCF of 88614 and 88624?

We will first find the prime factorization of 88614 and 88624. After we will calculate the factors of 88614 and 88624 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 88624

Prime factors of 88624 are 2, 29, 191. Prime factorization of 88624 in exponential form is:

88624 = 2⁴ × 29¹ × 191¹

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 88624

List of positive integer factors of 88624 that divides 88614 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 191, 232, 382, 464, 764, 1528, 3056, 5539, 11078, 22156, 44312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88614 and 88624. The biggest common factor number is the GCF number.
So the greatest common factor 88614 and 88624 is 2.

Also check out the Least Common Multiple of 88614 and 88624