What is the Greatest Common Factor of 36140 and 36157?

Greatest common factor (GCF) of 36140 and 36157 is 1.

GCF(36140,36157) = 1

We will now calculate the prime factors of 36140 and 36157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36140 and 36157.

How to find the GCF of 36140 and 36157?

We will first find the prime factorization of 36140 and 36157. After we will calculate the factors of 36140 and 36157 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 36157

Prime factors of 36157 are 11, 19, 173. Prime factorization of 36157 in exponential form is:

36157 = 11¹ × 19¹ × 173¹

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 36157

List of positive integer factors of 36157 that divides 36140 without a remainder.

1, 11, 19, 173, 209, 1903, 3287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36140 and 36157. The biggest common factor number is the GCF number.
So the greatest common factor 36140 and 36157 is 1.

Also check out the Least Common Multiple of 36140 and 36157