What is the Greatest Common Factor of 35126 and 35140?

Greatest common factor (GCF) of 35126 and 35140 is 14.

GCF(35126,35140) = 14

We will now calculate the prime factors of 35126 and 35140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35126 and 35140.

How to find the GCF of 35126 and 35140?

We will first find the prime factorization of 35126 and 35140. After we will calculate the factors of 35126 and 35140 and find the biggest common factor number .

Step-1: Prime Factorization of 35126

Prime factors of 35126 are 2, 7, 13, 193. Prime factorization of 35126 in exponential form is:

35126 = 2¹ × 7¹ × 13¹ × 193¹

Step-2: 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-3: Factors of 35126

List of positive integer factors of 35126 that divides 35126 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 193, 386, 1351, 2509, 2702, 5018, 17563

Step-4: Factors of 35140

List of positive integer factors of 35140 that divides 35126 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35126 and 35140. The biggest common factor number is the GCF number.
So the greatest common factor 35126 and 35140 is 14.

Also check out the Least Common Multiple of 35126 and 35140