What is the Greatest Common Factor of 70608 and 70624?

Greatest common factor (GCF) of 70608 and 70624 is 16.

GCF(70608,70624) = 16

We will now calculate the prime factors of 70608 and 70624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70608 and 70624.

How to find the GCF of 70608 and 70624?

We will first find the prime factorization of 70608 and 70624. After we will calculate the factors of 70608 and 70624 and find the biggest common factor number .

Step-1: Prime Factorization of 70608

Prime factors of 70608 are 2, 3, 1471. Prime factorization of 70608 in exponential form is:

70608 = 2⁴ × 3¹ × 1471¹

Step-2: Prime Factorization of 70624

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

70624 = 2⁵ × 2207¹

Step-3: Factors of 70608

List of positive integer factors of 70608 that divides 70608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1471, 2942, 4413, 5884, 8826, 11768, 17652, 23536, 35304

Step-4: Factors of 70624

List of positive integer factors of 70624 that divides 70608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70608 and 70624. The biggest common factor number is the GCF number.
So the greatest common factor 70608 and 70624 is 16.

Also check out the Least Common Multiple of 70608 and 70624