What is the Greatest Common Factor of 81564 and 81580?

Greatest common factor (GCF) of 81564 and 81580 is 4.

GCF(81564,81580) = 4

We will now calculate the prime factors of 81564 and 81580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81564 and 81580.

How to find the GCF of 81564 and 81580?

We will first find the prime factorization of 81564 and 81580. After we will calculate the factors of 81564 and 81580 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 81580

Prime factors of 81580 are 2, 5, 4079. Prime factorization of 81580 in exponential form is:

81580 = 2² × 5¹ × 4079¹

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 81580

List of positive integer factors of 81580 that divides 81564 without a remainder.

1, 2, 4, 5, 10, 20, 4079, 8158, 16316, 20395, 40790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81564 and 81580. The biggest common factor number is the GCF number.
So the greatest common factor 81564 and 81580 is 4.

Also check out the Least Common Multiple of 81564 and 81580