What is the Greatest Common Factor of 45568 and 45574?

Greatest common factor (GCF) of 45568 and 45574 is 2.

GCF(45568,45574) = 2

We will now calculate the prime factors of 45568 and 45574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45568 and 45574.

How to find the GCF of 45568 and 45574?

We will first find the prime factorization of 45568 and 45574. After we will calculate the factors of 45568 and 45574 and find the biggest common factor number .

Step-1: Prime Factorization of 45568

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

45568 = 2⁹ × 89¹

Step-2: Prime Factorization of 45574

Prime factors of 45574 are 2, 22787. Prime factorization of 45574 in exponential form is:

45574 = 2¹ × 22787¹

Step-3: Factors of 45568

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

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

Step-4: Factors of 45574

List of positive integer factors of 45574 that divides 45568 without a remainder.

1, 2, 22787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45568 and 45574. The biggest common factor number is the GCF number.
So the greatest common factor 45568 and 45574 is 2.

Also check out the Least Common Multiple of 45568 and 45574