What is the Greatest Common Factor of 35140 and 35157?

Greatest common factor (GCF) of 35140 and 35157 is 1.

GCF(35140,35157) = 1

We will now calculate the prime factors of 35140 and 35157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35140 and 35157.

How to find the GCF of 35140 and 35157?

We will first find the prime factorization of 35140 and 35157. After we will calculate the factors of 35140 and 35157 and find the biggest common factor number .

Step-1: Prime Factorization of 35140

Prime factors of 35140 are 2, 5, 7, 251. Prime factorization of 35140 in exponential form is:

35140 = 2² × 5¹ × 7¹ × 251¹

Step-2: Prime Factorization of 35157

Prime factors of 35157 are 3, 11719. Prime factorization of 35157 in exponential form is:

35157 = 3¹ × 11719¹

Step-3: Factors of 35140

List of positive integer factors of 35140 that divides 35140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 251, 502, 1004, 1255, 1757, 2510, 3514, 5020, 7028, 8785, 17570

Step-4: Factors of 35157

List of positive integer factors of 35157 that divides 35140 without a remainder.

1, 3, 11719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35140 and 35157. The biggest common factor number is the GCF number.
So the greatest common factor 35140 and 35157 is 1.

Also check out the Least Common Multiple of 35140 and 35157