What is the Greatest Common Factor of 36140 and 36146?

Greatest common factor (GCF) of 36140 and 36146 is 2.

GCF(36140,36146) = 2

We will now calculate the prime factors of 36140 and 36146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36140 and 36146.

How to find the GCF of 36140 and 36146?

We will first find the prime factorization of 36140 and 36146. After we will calculate the factors of 36140 and 36146 and find the biggest common factor number .

Step-1: Prime Factorization of 36140

Prime factors of 36140 are 2, 5, 13, 139. Prime factorization of 36140 in exponential form is:

36140 = 2² × 5¹ × 13¹ × 139¹

Step-2: Prime Factorization of 36146

Prime factors of 36146 are 2, 11, 31, 53. Prime factorization of 36146 in exponential form is:

36146 = 2¹ × 11¹ × 31¹ × 53¹

Step-3: Factors of 36140

List of positive integer factors of 36140 that divides 36140 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 139, 260, 278, 556, 695, 1390, 1807, 2780, 3614, 7228, 9035, 18070

Step-4: Factors of 36146

List of positive integer factors of 36146 that divides 36140 without a remainder.

1, 2, 11, 22, 31, 53, 62, 106, 341, 583, 682, 1166, 1643, 3286, 18073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36140 and 36146. The biggest common factor number is the GCF number.
So the greatest common factor 36140 and 36146 is 2.

Also check out the Least Common Multiple of 36140 and 36146