What is the Greatest Common Factor of 85560 and 85564?

Greatest common factor (GCF) of 85560 and 85564 is 4.

GCF(85560,85564) = 4

We will now calculate the prime factors of 85560 and 85564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85560 and 85564.

How to find the GCF of 85560 and 85564?

We will first find the prime factorization of 85560 and 85564. After we will calculate the factors of 85560 and 85564 and find the biggest common factor number .

Step-1: Prime Factorization of 85560

Prime factors of 85560 are 2, 3, 5, 23, 31. Prime factorization of 85560 in exponential form is:

85560 = 2³ × 3¹ × 5¹ × 23¹ × 31¹

Step-2: Prime Factorization of 85564

Prime factors of 85564 are 2, 21391. Prime factorization of 85564 in exponential form is:

85564 = 2² × 21391¹

Step-3: Factors of 85560

List of positive integer factors of 85560 that divides 85560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 31, 40, 46, 60, 62, 69, 92, 93, 115, 120, 124, 138, 155, 184, 186, 230, 248, 276, 310, 345, 372, 460, 465, 552, 620, 690, 713, 744, 920, 930, 1240, 1380, 1426, 1860, 2139, 2760, 2852, 3565, 3720, 4278, 5704, 7130, 8556, 10695, 14260, 17112, 21390, 28520, 42780

Step-4: Factors of 85564

List of positive integer factors of 85564 that divides 85560 without a remainder.

1, 2, 4, 21391, 42782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85560 and 85564. The biggest common factor number is the GCF number.
So the greatest common factor 85560 and 85564 is 4.

Also check out the Least Common Multiple of 85560 and 85564