What is the Greatest Common Factor of 81544 and 81564?

Greatest common factor (GCF) of 81544 and 81564 is 4.

GCF(81544,81564) = 4

We will now calculate the prime factors of 81544 and 81564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81544 and 81564.

How to find the GCF of 81544 and 81564?

We will first find the prime factorization of 81544 and 81564. After we will calculate the factors of 81544 and 81564 and find the biggest common factor number .

Step-1: Prime Factorization of 81544

Prime factors of 81544 are 2, 10193. Prime factorization of 81544 in exponential form is:

81544 = 2³ × 10193¹

Step-2: 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-3: Factors of 81544

List of positive integer factors of 81544 that divides 81544 without a remainder.

1, 2, 4, 8, 10193, 20386, 40772

Step-4: Factors of 81564

List of positive integer factors of 81564 that divides 81544 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81544 and 81564. The biggest common factor number is the GCF number.
So the greatest common factor 81544 and 81564 is 4.

Also check out the Least Common Multiple of 81544 and 81564