What is the Greatest Common Factor of 85355 and 85360?

Greatest common factor (GCF) of 85355 and 85360 is 5.

GCF(85355,85360) = 5

We will now calculate the prime factors of 85355 and 85360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85355 and 85360.

How to find the GCF of 85355 and 85360?

We will first find the prime factorization of 85355 and 85360. After we will calculate the factors of 85355 and 85360 and find the biggest common factor number .

Step-1: Prime Factorization of 85355

Prime factors of 85355 are 5, 43, 397. Prime factorization of 85355 in exponential form is:

85355 = 5¹ × 43¹ × 397¹

Step-2: Prime Factorization of 85360

Prime factors of 85360 are 2, 5, 11, 97. Prime factorization of 85360 in exponential form is:

85360 = 2⁴ × 5¹ × 11¹ × 97¹

Step-3: Factors of 85355

List of positive integer factors of 85355 that divides 85355 without a remainder.

1, 5, 43, 215, 397, 1985, 17071

Step-4: Factors of 85360

List of positive integer factors of 85360 that divides 85355 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 97, 110, 176, 194, 220, 388, 440, 485, 776, 880, 970, 1067, 1552, 1940, 2134, 3880, 4268, 5335, 7760, 8536, 10670, 17072, 21340, 42680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85355 and 85360. The biggest common factor number is the GCF number.
So the greatest common factor 85355 and 85360 is 5.

Also check out the Least Common Multiple of 85355 and 85360