What is the Greatest Common Factor of 85189 and 85202?

Greatest common factor (GCF) of 85189 and 85202 is 13.

GCF(85189,85202) = 13

We will now calculate the prime factors of 85189 and 85202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85189 and 85202.

How to find the GCF of 85189 and 85202?

We will first find the prime factorization of 85189 and 85202. After we will calculate the factors of 85189 and 85202 and find the biggest common factor number .

Step-1: Prime Factorization of 85189

Prime factors of 85189 are 13, 6553. Prime factorization of 85189 in exponential form is:

85189 = 13¹ × 6553¹

Step-2: Prime Factorization of 85202

Prime factors of 85202 are 2, 13, 29, 113. Prime factorization of 85202 in exponential form is:

85202 = 2¹ × 13¹ × 29¹ × 113¹

Step-3: Factors of 85189

List of positive integer factors of 85189 that divides 85189 without a remainder.

1, 13, 6553

Step-4: Factors of 85202

List of positive integer factors of 85202 that divides 85189 without a remainder.

1, 2, 13, 26, 29, 58, 113, 226, 377, 754, 1469, 2938, 3277, 6554, 42601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85189 and 85202. The biggest common factor number is the GCF number.
So the greatest common factor 85189 and 85202 is 13.

Also check out the Least Common Multiple of 85189 and 85202