What is the Greatest Common Factor of 85316 and 85334?

Greatest common factor (GCF) of 85316 and 85334 is 2.

GCF(85316,85334) = 2

We will now calculate the prime factors of 85316 and 85334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85316 and 85334.

How to find the GCF of 85316 and 85334?

We will first find the prime factorization of 85316 and 85334. After we will calculate the factors of 85316 and 85334 and find the biggest common factor number .

Step-1: Prime Factorization of 85316

Prime factors of 85316 are 2, 7, 11, 277. Prime factorization of 85316 in exponential form is:

85316 = 2² × 7¹ × 11¹ × 277¹

Step-2: Prime Factorization of 85334

Prime factors of 85334 are 2, 42667. Prime factorization of 85334 in exponential form is:

85334 = 2¹ × 42667¹

Step-3: Factors of 85316

List of positive integer factors of 85316 that divides 85316 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 277, 308, 554, 1108, 1939, 3047, 3878, 6094, 7756, 12188, 21329, 42658

Step-4: Factors of 85334

List of positive integer factors of 85334 that divides 85316 without a remainder.

1, 2, 42667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85316 and 85334. The biggest common factor number is the GCF number.
So the greatest common factor 85316 and 85334 is 2.

Also check out the Least Common Multiple of 85316 and 85334