What is the Greatest Common Factor of 45564 and 45568?

Greatest common factor (GCF) of 45564 and 45568 is 4.

GCF(45564,45568) = 4

We will now calculate the prime factors of 45564 and 45568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45564 and 45568.

How to find the GCF of 45564 and 45568?

We will first find the prime factorization of 45564 and 45568. After we will calculate the factors of 45564 and 45568 and find the biggest common factor number .

Step-1: Prime Factorization of 45564

Prime factors of 45564 are 2, 3, 3797. Prime factorization of 45564 in exponential form is:

45564 = 2² × 3¹ × 3797¹

Step-2: Prime Factorization of 45568

Prime factors of 45568 are 2, 89. Prime factorization of 45568 in exponential form is:

45568 = 2⁹ × 89¹

Step-3: Factors of 45564

List of positive integer factors of 45564 that divides 45564 without a remainder.

1, 2, 3, 4, 6, 12, 3797, 7594, 11391, 15188, 22782

Step-4: Factors of 45568

List of positive integer factors of 45568 that divides 45564 without a remainder.

1, 2, 4, 8, 16, 32, 64, 89, 128, 178, 256, 356, 512, 712, 1424, 2848, 5696, 11392, 22784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45564 and 45568. The biggest common factor number is the GCF number.
So the greatest common factor 45564 and 45568 is 4.

Also check out the Least Common Multiple of 45564 and 45568