What is the Greatest Common Factor of 85364 and 85371?

Greatest common factor (GCF) of 85364 and 85371 is 1.

GCF(85364,85371) = 1

We will now calculate the prime factors of 85364 and 85371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85364 and 85371.

How to find the GCF of 85364 and 85371?

We will first find the prime factorization of 85364 and 85371. After we will calculate the factors of 85364 and 85371 and find the biggest common factor number .

Step-1: Prime Factorization of 85364

Prime factors of 85364 are 2, 21341. Prime factorization of 85364 in exponential form is:

85364 = 2² × 21341¹

Step-2: Prime Factorization of 85371

Prime factors of 85371 are 3, 11, 13, 199. Prime factorization of 85371 in exponential form is:

85371 = 3¹ × 11¹ × 13¹ × 199¹

Step-3: Factors of 85364

List of positive integer factors of 85364 that divides 85364 without a remainder.

1, 2, 4, 21341, 42682

Step-4: Factors of 85371

List of positive integer factors of 85371 that divides 85364 without a remainder.

1, 3, 11, 13, 33, 39, 143, 199, 429, 597, 2189, 2587, 6567, 7761, 28457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85364 and 85371. The biggest common factor number is the GCF number.
So the greatest common factor 85364 and 85371 is 1.

Also check out the Least Common Multiple of 85364 and 85371