What is the Greatest Common Factor of 88634 and 88647?

Greatest common factor (GCF) of 88634 and 88647 is 13.

GCF(88634,88647) = 13

We will now calculate the prime factors of 88634 and 88647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88634 and 88647.

How to find the GCF of 88634 and 88647?

We will first find the prime factorization of 88634 and 88647. After we will calculate the factors of 88634 and 88647 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88647

Prime factors of 88647 are 3, 13, 2273. Prime factorization of 88647 in exponential form is:

88647 = 3¹ × 13¹ × 2273¹

Step-3: Factors of 88634

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

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

Step-4: Factors of 88647

List of positive integer factors of 88647 that divides 88634 without a remainder.

1, 3, 13, 39, 2273, 6819, 29549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88634 and 88647. The biggest common factor number is the GCF number.
So the greatest common factor 88634 and 88647 is 13.

Also check out the Least Common Multiple of 88634 and 88647