What is the Greatest Common Factor of 35648 and 35656?

Greatest common factor (GCF) of 35648 and 35656 is 8.

GCF(35648,35656) = 8

We will now calculate the prime factors of 35648 and 35656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35648 and 35656.

How to find the GCF of 35648 and 35656?

We will first find the prime factorization of 35648 and 35656. After we will calculate the factors of 35648 and 35656 and find the biggest common factor number .

Step-1: Prime Factorization of 35648

Prime factors of 35648 are 2, 557. Prime factorization of 35648 in exponential form is:

35648 = 2⁶ × 557¹

Step-2: Prime Factorization of 35656

Prime factors of 35656 are 2, 4457. Prime factorization of 35656 in exponential form is:

35656 = 2³ × 4457¹

Step-3: Factors of 35648

List of positive integer factors of 35648 that divides 35648 without a remainder.

1, 2, 4, 8, 16, 32, 64, 557, 1114, 2228, 4456, 8912, 17824

Step-4: Factors of 35656

List of positive integer factors of 35656 that divides 35648 without a remainder.

1, 2, 4, 8, 4457, 8914, 17828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35648 and 35656. The biggest common factor number is the GCF number.
So the greatest common factor 35648 and 35656 is 8.

Also check out the Least Common Multiple of 35648 and 35656