What is the Greatest Common Factor of 88634 and 88648?

Greatest common factor (GCF) of 88634 and 88648 is 14.

GCF(88634,88648) = 14

We will now calculate the prime factors of 88634 and 88648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88634 and 88648.

How to find the GCF of 88634 and 88648?

We will first find the prime factorization of 88634 and 88648. After we will calculate the factors of 88634 and 88648 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 88648

Prime factors of 88648 are 2, 7, 1583. Prime factorization of 88648 in exponential form is:

88648 = 2³ × 7¹ × 1583¹

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 88648

List of positive integer factors of 88648 that divides 88634 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1583, 3166, 6332, 11081, 12664, 22162, 44324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88634 and 88648. The biggest common factor number is the GCF number.
So the greatest common factor 88634 and 88648 is 14.

Also check out the Least Common Multiple of 88634 and 88648