What is the Greatest Common Factor of 85126 and 85130?

Greatest common factor (GCF) of 85126 and 85130 is 2.

GCF(85126,85130) = 2

We will now calculate the prime factors of 85126 and 85130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85126 and 85130.

How to find the GCF of 85126 and 85130?

We will first find the prime factorization of 85126 and 85130. After we will calculate the factors of 85126 and 85130 and find the biggest common factor number .

Step-1: Prime Factorization of 85126

Prime factors of 85126 are 2, 31, 1373. Prime factorization of 85126 in exponential form is:

85126 = 2¹ × 31¹ × 1373¹

Step-2: Prime Factorization of 85130

Prime factors of 85130 are 2, 5, 8513. Prime factorization of 85130 in exponential form is:

85130 = 2¹ × 5¹ × 8513¹

Step-3: Factors of 85126

List of positive integer factors of 85126 that divides 85126 without a remainder.

1, 2, 31, 62, 1373, 2746, 42563

Step-4: Factors of 85130

List of positive integer factors of 85130 that divides 85126 without a remainder.

1, 2, 5, 10, 8513, 17026, 42565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85126 and 85130. The biggest common factor number is the GCF number.
So the greatest common factor 85126 and 85130 is 2.

Also check out the Least Common Multiple of 85126 and 85130