What is the Greatest Common Factor of 28564 and 28574?

Greatest common factor (GCF) of 28564 and 28574 is 2.

GCF(28564,28574) = 2

We will now calculate the prime factors of 28564 and 28574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28564 and 28574.

How to find the GCF of 28564 and 28574?

We will first find the prime factorization of 28564 and 28574. After we will calculate the factors of 28564 and 28574 and find the biggest common factor number .

Step-1: Prime Factorization of 28564

Prime factors of 28564 are 2, 37, 193. Prime factorization of 28564 in exponential form is:

28564 = 2² × 37¹ × 193¹

Step-2: Prime Factorization of 28574

Prime factors of 28574 are 2, 7, 13, 157. Prime factorization of 28574 in exponential form is:

28574 = 2¹ × 7¹ × 13¹ × 157¹

Step-3: Factors of 28564

List of positive integer factors of 28564 that divides 28564 without a remainder.

1, 2, 4, 37, 74, 148, 193, 386, 772, 7141, 14282

Step-4: Factors of 28574

List of positive integer factors of 28574 that divides 28564 without a remainder.

1, 2, 7, 13, 14, 26, 91, 157, 182, 314, 1099, 2041, 2198, 4082, 14287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28564 and 28574. The biggest common factor number is the GCF number.
So the greatest common factor 28564 and 28574 is 2.

Also check out the Least Common Multiple of 28564 and 28574