What is the Greatest Common Factor of 88625 and 88634?

Greatest common factor (GCF) of 88625 and 88634 is 1.

GCF(88625,88634) = 1

We will now calculate the prime factors of 88625 and 88634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88625 and 88634.

How to find the GCF of 88625 and 88634?

We will first find the prime factorization of 88625 and 88634. After we will calculate the factors of 88625 and 88634 and find the biggest common factor number .

Step-1: Prime Factorization of 88625

Prime factors of 88625 are 5, 709. Prime factorization of 88625 in exponential form is:

88625 = 5³ × 709¹

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 88625

List of positive integer factors of 88625 that divides 88625 without a remainder.

1, 5, 25, 125, 709, 3545, 17725

Step-4: Factors of 88634

List of positive integer factors of 88634 that divides 88625 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 88625 and 88634. The biggest common factor number is the GCF number.
So the greatest common factor 88625 and 88634 is 1.

Also check out the Least Common Multiple of 88625 and 88634