What is the Greatest Common Factor of 45548 and 45568?

Greatest common factor (GCF) of 45548 and 45568 is 4.

GCF(45548,45568) = 4

We will now calculate the prime factors of 45548 and 45568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45548 and 45568.

How to find the GCF of 45548 and 45568?

We will first find the prime factorization of 45548 and 45568. After we will calculate the factors of 45548 and 45568 and find the biggest common factor number .

Step-1: Prime Factorization of 45548

Prime factors of 45548 are 2, 59, 193. Prime factorization of 45548 in exponential form is:

45548 = 2² × 59¹ × 193¹

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 45548

List of positive integer factors of 45548 that divides 45548 without a remainder.

1, 2, 4, 59, 118, 193, 236, 386, 772, 11387, 22774

Step-4: Factors of 45568

List of positive integer factors of 45568 that divides 45548 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 45548 and 45568. The biggest common factor number is the GCF number.
So the greatest common factor 45548 and 45568 is 4.

Also check out the Least Common Multiple of 45548 and 45568