What is the Greatest Common Factor of 88621 and 88634?

Greatest common factor (GCF) of 88621 and 88634 is 13.

GCF(88621,88634) = 13

We will now calculate the prime factors of 88621 and 88634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88621 and 88634.

How to find the GCF of 88621 and 88634?

We will first find the prime factorization of 88621 and 88634. After we will calculate the factors of 88621 and 88634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88634

Prime factors of 88634 are 2, 7, 13, 487. Prime factorization of 88634 in exponential form is:

88634 = 2¹ × 7¹ × 13¹ × 487¹

Step-3: Factors of 88621

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

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

Step-4: Factors of 88634

List of positive integer factors of 88634 that divides 88621 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 487, 974, 3409, 6331, 6818, 12662, 44317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88621 and 88634. The biggest common factor number is the GCF number.
So the greatest common factor 88621 and 88634 is 13.

Also check out the Least Common Multiple of 88621 and 88634