What is the Greatest Common Factor of 85545 and 85560?

Greatest common factor (GCF) of 85545 and 85560 is 15.

GCF(85545,85560) = 15

We will now calculate the prime factors of 85545 and 85560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85545 and 85560.

How to find the GCF of 85545 and 85560?

We will first find the prime factorization of 85545 and 85560. After we will calculate the factors of 85545 and 85560 and find the biggest common factor number .

Step-1: Prime Factorization of 85545

Prime factors of 85545 are 3, 5, 1901. Prime factorization of 85545 in exponential form is:

85545 = 3² × 5¹ × 1901¹

Step-2: 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-3: Factors of 85545

List of positive integer factors of 85545 that divides 85545 without a remainder.

1, 3, 5, 9, 15, 45, 1901, 5703, 9505, 17109, 28515

Step-4: Factors of 85560

List of positive integer factors of 85560 that divides 85545 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85545 and 85560. The biggest common factor number is the GCF number.
So the greatest common factor 85545 and 85560 is 15.

Also check out the Least Common Multiple of 85545 and 85560