What is the Greatest Common Factor of 35140 and 35145?

Greatest common factor (GCF) of 35140 and 35145 is 5.

GCF(35140,35145) = 5

We will now calculate the prime factors of 35140 and 35145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35140 and 35145.

How to find the GCF of 35140 and 35145?

We will first find the prime factorization of 35140 and 35145. After we will calculate the factors of 35140 and 35145 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 35145

Prime factors of 35145 are 3, 5, 11, 71. Prime factorization of 35145 in exponential form is:

35145 = 3² × 5¹ × 11¹ × 71¹

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 35145

List of positive integer factors of 35145 that divides 35140 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 71, 99, 165, 213, 355, 495, 639, 781, 1065, 2343, 3195, 3905, 7029, 11715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35140 and 35145. The biggest common factor number is the GCF number.
So the greatest common factor 35140 and 35145 is 5.

Also check out the Least Common Multiple of 35140 and 35145