What is the Greatest Common Factor of 85578 and 85596?

Greatest common factor (GCF) of 85578 and 85596 is 6.

GCF(85578,85596) = 6

We will now calculate the prime factors of 85578 and 85596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85578 and 85596.

How to find the GCF of 85578 and 85596?

We will first find the prime factorization of 85578 and 85596. After we will calculate the factors of 85578 and 85596 and find the biggest common factor number .

Step-1: Prime Factorization of 85578

Prime factors of 85578 are 2, 3, 17, 839. Prime factorization of 85578 in exponential form is:

85578 = 2¹ × 3¹ × 17¹ × 839¹

Step-2: Prime Factorization of 85596

Prime factors of 85596 are 2, 3, 7, 1019. Prime factorization of 85596 in exponential form is:

85596 = 2² × 3¹ × 7¹ × 1019¹

Step-3: Factors of 85578

List of positive integer factors of 85578 that divides 85578 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 839, 1678, 2517, 5034, 14263, 28526, 42789

Step-4: Factors of 85596

List of positive integer factors of 85596 that divides 85578 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1019, 2038, 3057, 4076, 6114, 7133, 12228, 14266, 21399, 28532, 42798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85578 and 85596. The biggest common factor number is the GCF number.
So the greatest common factor 85578 and 85596 is 6.

Also check out the Least Common Multiple of 85578 and 85596