What is the Greatest Common Factor of 85560 and 85575?

Greatest common factor (GCF) of 85560 and 85575 is 15.

GCF(85560,85575) = 15

We will now calculate the prime factors of 85560 and 85575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85560 and 85575.

How to find the GCF of 85560 and 85575?

We will first find the prime factorization of 85560 and 85575. After we will calculate the factors of 85560 and 85575 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 85575

Prime factors of 85575 are 3, 5, 7, 163. Prime factorization of 85575 in exponential form is:

85575 = 3¹ × 5² × 7¹ × 163¹

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 85575

List of positive integer factors of 85575 that divides 85560 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 163, 175, 489, 525, 815, 1141, 2445, 3423, 4075, 5705, 12225, 17115, 28525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85560 and 85575. The biggest common factor number is the GCF number.
So the greatest common factor 85560 and 85575 is 15.

Also check out the Least Common Multiple of 85560 and 85575