What is the Greatest Common Factor of 85560 and 85572?

Greatest common factor (GCF) of 85560 and 85572 is 12.

GCF(85560,85572) = 12

We will now calculate the prime factors of 85560 and 85572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85560 and 85572.

How to find the GCF of 85560 and 85572?

We will first find the prime factorization of 85560 and 85572. After we will calculate the factors of 85560 and 85572 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 85572

Prime factors of 85572 are 2, 3, 2377. Prime factorization of 85572 in exponential form is:

85572 = 2² × 3² × 2377¹

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 85572

List of positive integer factors of 85572 that divides 85560 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2377, 4754, 7131, 9508, 14262, 21393, 28524, 42786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85560 and 85572. The biggest common factor number is the GCF number.
So the greatest common factor 85560 and 85572 is 12.

Also check out the Least Common Multiple of 85560 and 85572