What is the Greatest Common Factor of 70624 and 70637?

Greatest common factor (GCF) of 70624 and 70637 is 1.

GCF(70624,70637) = 1

We will now calculate the prime factors of 70624 and 70637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70624 and 70637.

How to find the GCF of 70624 and 70637?

We will first find the prime factorization of 70624 and 70637. After we will calculate the factors of 70624 and 70637 and find the biggest common factor number .

Step-1: Prime Factorization of 70624

Prime factors of 70624 are 2, 2207. Prime factorization of 70624 in exponential form is:

70624 = 2⁵ × 2207¹

Step-2: Prime Factorization of 70637

Prime factors of 70637 are 7, 10091. Prime factorization of 70637 in exponential form is:

70637 = 7¹ × 10091¹

Step-3: Factors of 70624

List of positive integer factors of 70624 that divides 70624 without a remainder.

1, 2, 4, 8, 16, 32, 2207, 4414, 8828, 17656, 35312

Step-4: Factors of 70637

List of positive integer factors of 70637 that divides 70624 without a remainder.

1, 7, 10091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70624 and 70637. The biggest common factor number is the GCF number.
So the greatest common factor 70624 and 70637 is 1.

Also check out the Least Common Multiple of 70624 and 70637