What is the Greatest Common Factor of 88614 and 88620?

Greatest common factor (GCF) of 88614 and 88620 is 6.

GCF(88614,88620) = 6

We will now calculate the prime factors of 88614 and 88620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88614 and 88620.

How to find the GCF of 88614 and 88620?

We will first find the prime factorization of 88614 and 88620. After we will calculate the factors of 88614 and 88620 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 88620

Prime factors of 88620 are 2, 3, 5, 7, 211. Prime factorization of 88620 in exponential form is:

88620 = 2² × 3¹ × 5¹ × 7¹ × 211¹

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 88620

List of positive integer factors of 88620 that divides 88614 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 211, 420, 422, 633, 844, 1055, 1266, 1477, 2110, 2532, 2954, 3165, 4220, 4431, 5908, 6330, 7385, 8862, 12660, 14770, 17724, 22155, 29540, 44310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88614 and 88620. The biggest common factor number is the GCF number.
So the greatest common factor 88614 and 88620 is 6.

Also check out the Least Common Multiple of 88614 and 88620