What is the Greatest Common Factor of 76564 and 76583?

Greatest common factor (GCF) of 76564 and 76583 is 1.

GCF(76564,76583) = 1

We will now calculate the prime factors of 76564 and 76583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76564 and 76583.

How to find the GCF of 76564 and 76583?

We will first find the prime factorization of 76564 and 76583. After we will calculate the factors of 76564 and 76583 and find the biggest common factor number .

Step-1: Prime Factorization of 76564

Prime factors of 76564 are 2, 19141. Prime factorization of 76564 in exponential form is:

76564 = 2² × 19141¹

Step-2: Prime Factorization of 76583

Prime factors of 76583 are 13, 43, 137. Prime factorization of 76583 in exponential form is:

76583 = 13¹ × 43¹ × 137¹

Step-3: Factors of 76564

List of positive integer factors of 76564 that divides 76564 without a remainder.

1, 2, 4, 19141, 38282

Step-4: Factors of 76583

List of positive integer factors of 76583 that divides 76564 without a remainder.

1, 13, 43, 137, 559, 1781, 5891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76564 and 76583. The biggest common factor number is the GCF number.
So the greatest common factor 76564 and 76583 is 1.

Also check out the Least Common Multiple of 76564 and 76583