What is the Greatest Common Factor of 36140 and 36145?

Greatest common factor (GCF) of 36140 and 36145 is 5.

GCF(36140,36145) = 5

We will now calculate the prime factors of 36140 and 36145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36140 and 36145.

How to find the GCF of 36140 and 36145?

We will first find the prime factorization of 36140 and 36145. After we will calculate the factors of 36140 and 36145 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 36145

Prime factors of 36145 are 5, 7229. Prime factorization of 36145 in exponential form is:

36145 = 5¹ × 7229¹

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 36145

List of positive integer factors of 36145 that divides 36140 without a remainder.

1, 5, 7229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36140 and 36145. The biggest common factor number is the GCF number.
So the greatest common factor 36140 and 36145 is 5.

Also check out the Least Common Multiple of 36140 and 36145