What is the Greatest Common Factor of 45648 and 45656?

Greatest common factor (GCF) of 45648 and 45656 is 8.

GCF(45648,45656) = 8

We will now calculate the prime factors of 45648 and 45656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45648 and 45656.

How to find the GCF of 45648 and 45656?

We will first find the prime factorization of 45648 and 45656. After we will calculate the factors of 45648 and 45656 and find the biggest common factor number .

Step-1: Prime Factorization of 45648

Prime factors of 45648 are 2, 3, 317. Prime factorization of 45648 in exponential form is:

45648 = 2⁴ × 3² × 317¹

Step-2: Prime Factorization of 45656

Prime factors of 45656 are 2, 13, 439. Prime factorization of 45656 in exponential form is:

45656 = 2³ × 13¹ × 439¹

Step-3: Factors of 45648

List of positive integer factors of 45648 that divides 45648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 317, 634, 951, 1268, 1902, 2536, 2853, 3804, 5072, 5706, 7608, 11412, 15216, 22824

Step-4: Factors of 45656

List of positive integer factors of 45656 that divides 45648 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 439, 878, 1756, 3512, 5707, 11414, 22828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45648 and 45656. The biggest common factor number is the GCF number.
So the greatest common factor 45648 and 45656 is 8.

Also check out the Least Common Multiple of 45648 and 45656