What is the Greatest Common Factor of 85218 and 85237?

Greatest common factor (GCF) of 85218 and 85237 is 1.

GCF(85218,85237) = 1

We will now calculate the prime factors of 85218 and 85237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85218 and 85237.

How to find the GCF of 85218 and 85237?

We will first find the prime factorization of 85218 and 85237. After we will calculate the factors of 85218 and 85237 and find the biggest common factor number .

Step-1: Prime Factorization of 85218

Prime factors of 85218 are 2, 3, 7, 2029. Prime factorization of 85218 in exponential form is:

85218 = 2¹ × 3¹ × 7¹ × 2029¹

Step-2: Prime Factorization of 85237

Prime factors of 85237 are 85237. Prime factorization of 85237 in exponential form is:

85237 = 85237¹

Step-3: Factors of 85218

List of positive integer factors of 85218 that divides 85218 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2029, 4058, 6087, 12174, 14203, 28406, 42609

Step-4: Factors of 85237

List of positive integer factors of 85237 that divides 85218 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85218 and 85237. The biggest common factor number is the GCF number.
So the greatest common factor 85218 and 85237 is 1.

Also check out the Least Common Multiple of 85218 and 85237