What is the Greatest Common Factor of 70624 and 70634?

Greatest common factor (GCF) of 70624 and 70634 is 2.

GCF(70624,70634) = 2

We will now calculate the prime factors of 70624 and 70634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70624 and 70634.

How to find the GCF of 70624 and 70634?

We will first find the prime factorization of 70624 and 70634. After we will calculate the factors of 70624 and 70634 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 70634

Prime factors of 70634 are 2, 35317. Prime factorization of 70634 in exponential form is:

70634 = 2¹ × 35317¹

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 70634

List of positive integer factors of 70634 that divides 70624 without a remainder.

1, 2, 35317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70624 and 70634. The biggest common factor number is the GCF number.
So the greatest common factor 70624 and 70634 is 2.

Also check out the Least Common Multiple of 70624 and 70634