What is the Greatest Common Factor of 85134 and 85149?

Greatest common factor (GCF) of 85134 and 85149 is 3.

GCF(85134,85149) = 3

We will now calculate the prime factors of 85134 and 85149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85134 and 85149.

How to find the GCF of 85134 and 85149?

We will first find the prime factorization of 85134 and 85149. After we will calculate the factors of 85134 and 85149 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 85149

Prime factors of 85149 are 3, 9461. Prime factorization of 85149 in exponential form is:

85149 = 3² × 9461¹

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 85149

List of positive integer factors of 85149 that divides 85134 without a remainder.

1, 3, 9, 9461, 28383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85134 and 85149. The biggest common factor number is the GCF number.
So the greatest common factor 85134 and 85149 is 3.

Also check out the Least Common Multiple of 85134 and 85149