What is the Greatest Common Factor of 81564 and 81578?

Greatest common factor (GCF) of 81564 and 81578 is 14.

GCF(81564,81578) = 14

We will now calculate the prime factors of 81564 and 81578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81564 and 81578.

How to find the GCF of 81564 and 81578?

We will first find the prime factorization of 81564 and 81578. After we will calculate the factors of 81564 and 81578 and find the biggest common factor number .

Step-1: Prime Factorization of 81564

Prime factors of 81564 are 2, 3, 7, 971. Prime factorization of 81564 in exponential form is:

81564 = 2² × 3¹ × 7¹ × 971¹

Step-2: Prime Factorization of 81578

Prime factors of 81578 are 2, 7, 5827. Prime factorization of 81578 in exponential form is:

81578 = 2¹ × 7¹ × 5827¹

Step-3: Factors of 81564

List of positive integer factors of 81564 that divides 81564 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 971, 1942, 2913, 3884, 5826, 6797, 11652, 13594, 20391, 27188, 40782

Step-4: Factors of 81578

List of positive integer factors of 81578 that divides 81564 without a remainder.

1, 2, 7, 14, 5827, 11654, 40789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81564 and 81578. The biggest common factor number is the GCF number.
So the greatest common factor 81564 and 81578 is 14.

Also check out the Least Common Multiple of 81564 and 81578