What is the Greatest Common Factor of 88608 and 88621?

Greatest common factor (GCF) of 88608 and 88621 is 13.

GCF(88608,88621) = 13

We will now calculate the prime factors of 88608 and 88621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88608 and 88621.

How to find the GCF of 88608 and 88621?

We will first find the prime factorization of 88608 and 88621. After we will calculate the factors of 88608 and 88621 and find the biggest common factor number .

Step-1: Prime Factorization of 88608

Prime factors of 88608 are 2, 3, 13, 71. Prime factorization of 88608 in exponential form is:

88608 = 2⁵ × 3¹ × 13¹ × 71¹

Step-2: Prime Factorization of 88621

Prime factors of 88621 are 13, 17, 401. Prime factorization of 88621 in exponential form is:

88621 = 13¹ × 17¹ × 401¹

Step-3: Factors of 88608

List of positive integer factors of 88608 that divides 88608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 71, 78, 96, 104, 142, 156, 208, 213, 284, 312, 416, 426, 568, 624, 852, 923, 1136, 1248, 1704, 1846, 2272, 2769, 3408, 3692, 5538, 6816, 7384, 11076, 14768, 22152, 29536, 44304

Step-4: Factors of 88621

List of positive integer factors of 88621 that divides 88608 without a remainder.

1, 13, 17, 221, 401, 5213, 6817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88608 and 88621. The biggest common factor number is the GCF number.
So the greatest common factor 88608 and 88621 is 13.

Also check out the Least Common Multiple of 88608 and 88621