What is the Greatest Common Factor of 85560 and 85568?

Greatest common factor (GCF) of 85560 and 85568 is 8.

GCF(85560,85568) = 8

We will now calculate the prime factors of 85560 and 85568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85560 and 85568.

How to find the GCF of 85560 and 85568?

We will first find the prime factorization of 85560 and 85568. After we will calculate the factors of 85560 and 85568 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 85568

Prime factors of 85568 are 2, 7, 191. Prime factorization of 85568 in exponential form is:

85568 = 2⁶ × 7¹ × 191¹

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 85568

List of positive integer factors of 85568 that divides 85560 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 191, 224, 382, 448, 764, 1337, 1528, 2674, 3056, 5348, 6112, 10696, 12224, 21392, 42784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85560 and 85568. The biggest common factor number is the GCF number.
So the greatest common factor 85560 and 85568 is 8.

Also check out the Least Common Multiple of 85560 and 85568