What is the Greatest Common Factor of 36126 and 36130?

Greatest common factor (GCF) of 36126 and 36130 is 2.

GCF(36126,36130) = 2

We will now calculate the prime factors of 36126 and 36130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36126 and 36130.

How to find the GCF of 36126 and 36130?

We will first find the prime factorization of 36126 and 36130. After we will calculate the factors of 36126 and 36130 and find the biggest common factor number .

Step-1: Prime Factorization of 36126

Prime factors of 36126 are 2, 3, 223. Prime factorization of 36126 in exponential form is:

36126 = 2¹ × 3⁴ × 223¹

Step-2: Prime Factorization of 36130

Prime factors of 36130 are 2, 5, 3613. Prime factorization of 36130 in exponential form is:

36130 = 2¹ × 5¹ × 3613¹

Step-3: Factors of 36126

List of positive integer factors of 36126 that divides 36126 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 223, 446, 669, 1338, 2007, 4014, 6021, 12042, 18063

Step-4: Factors of 36130

List of positive integer factors of 36130 that divides 36126 without a remainder.

1, 2, 5, 10, 3613, 7226, 18065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36126 and 36130. The biggest common factor number is the GCF number.
So the greatest common factor 36126 and 36130 is 2.

Also check out the Least Common Multiple of 36126 and 36130