What is the Greatest Common Factor of 85134 and 85141?

Greatest common factor (GCF) of 85134 and 85141 is 7.

GCF(85134,85141) = 7

We will now calculate the prime factors of 85134 and 85141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85134 and 85141.

How to find the GCF of 85134 and 85141?

We will first find the prime factorization of 85134 and 85141. After we will calculate the factors of 85134 and 85141 and find the biggest common factor number .

Step-1: Prime Factorization of 85134

Prime factors of 85134 are 2, 3, 7, 2027. Prime factorization of 85134 in exponential form is:

85134 = 2¹ × 3¹ × 7¹ × 2027¹

Step-2: Prime Factorization of 85141

Prime factors of 85141 are 7, 12163. Prime factorization of 85141 in exponential form is:

85141 = 7¹ × 12163¹

Step-3: Factors of 85134

List of positive integer factors of 85134 that divides 85134 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2027, 4054, 6081, 12162, 14189, 28378, 42567

Step-4: Factors of 85141

List of positive integer factors of 85141 that divides 85134 without a remainder.

1, 7, 12163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85134 and 85141. The biggest common factor number is the GCF number.
So the greatest common factor 85134 and 85141 is 7.

Also check out the Least Common Multiple of 85134 and 85141