What is the Greatest Common Factor of 85560 and 85565?

Greatest common factor (GCF) of 85560 and 85565 is 5.

GCF(85560,85565) = 5

We will now calculate the prime factors of 85560 and 85565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85560 and 85565.

How to find the GCF of 85560 and 85565?

We will first find the prime factorization of 85560 and 85565. After we will calculate the factors of 85560 and 85565 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 85565

Prime factors of 85565 are 5, 109, 157. Prime factorization of 85565 in exponential form is:

85565 = 5¹ × 109¹ × 157¹

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 85565

List of positive integer factors of 85565 that divides 85560 without a remainder.

1, 5, 109, 157, 545, 785, 17113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85560 and 85565. The biggest common factor number is the GCF number.
So the greatest common factor 85560 and 85565 is 5.

Also check out the Least Common Multiple of 85560 and 85565