What is the Greatest Common Factor of 85552 and 85560?

Greatest common factor (GCF) of 85552 and 85560 is 8.

GCF(85552,85560) = 8

We will now calculate the prime factors of 85552 and 85560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85552 and 85560.

How to find the GCF of 85552 and 85560?

We will first find the prime factorization of 85552 and 85560. After we will calculate the factors of 85552 and 85560 and find the biggest common factor number .

Step-1: Prime Factorization of 85552

Prime factors of 85552 are 2, 5347. Prime factorization of 85552 in exponential form is:

85552 = 2⁴ × 5347¹

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 85552

List of positive integer factors of 85552 that divides 85552 without a remainder.

1, 2, 4, 8, 16, 5347, 10694, 21388, 42776

Step-4: Factors of 85560

List of positive integer factors of 85560 that divides 85552 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 85552 and 85560. The biggest common factor number is the GCF number.
So the greatest common factor 85552 and 85560 is 8.

Also check out the Least Common Multiple of 85552 and 85560