What is the Greatest Common Factor of 10564 and 10583?

Greatest common factor (GCF) of 10564 and 10583 is 19.

GCF(10564,10583) = 19

We will now calculate the prime factors of 10564 and 10583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10564 and 10583.

How to find the GCF of 10564 and 10583?

We will first find the prime factorization of 10564 and 10583. After we will calculate the factors of 10564 and 10583 and find the biggest common factor number .

Step-1: Prime Factorization of 10564

Prime factors of 10564 are 2, 19, 139. Prime factorization of 10564 in exponential form is:

10564 = 2² × 19¹ × 139¹

Step-2: Prime Factorization of 10583

Prime factors of 10583 are 19, 557. Prime factorization of 10583 in exponential form is:

10583 = 19¹ × 557¹

Step-3: Factors of 10564

List of positive integer factors of 10564 that divides 10564 without a remainder.

1, 2, 4, 19, 38, 76, 139, 278, 556, 2641, 5282

Step-4: Factors of 10583

List of positive integer factors of 10583 that divides 10564 without a remainder.

1, 19, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10564 and 10583. The biggest common factor number is the GCF number.
So the greatest common factor 10564 and 10583 is 19.

Also check out the Least Common Multiple of 10564 and 10583