What is the Greatest Common Factor of 70624 and 70640?

Greatest common factor (GCF) of 70624 and 70640 is 16.

GCF(70624,70640) = 16

We will now calculate the prime factors of 70624 and 70640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70624 and 70640.

How to find the GCF of 70624 and 70640?

We will first find the prime factorization of 70624 and 70640. After we will calculate the factors of 70624 and 70640 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 70640

Prime factors of 70640 are 2, 5, 883. Prime factorization of 70640 in exponential form is:

70640 = 2⁴ × 5¹ × 883¹

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 70640

List of positive integer factors of 70640 that divides 70624 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 883, 1766, 3532, 4415, 7064, 8830, 14128, 17660, 35320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70624 and 70640. The biggest common factor number is the GCF number.
So the greatest common factor 70624 and 70640 is 16.

Also check out the Least Common Multiple of 70624 and 70640