What is the Greatest Common Factor of 35140 and 35152?

Greatest common factor (GCF) of 35140 and 35152 is 4.

GCF(35140,35152) = 4

We will now calculate the prime factors of 35140 and 35152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35140 and 35152.

How to find the GCF of 35140 and 35152?

We will first find the prime factorization of 35140 and 35152. After we will calculate the factors of 35140 and 35152 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 35152

Prime factors of 35152 are 2, 13. Prime factorization of 35152 in exponential form is:

35152 = 2⁴ × 13³

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 35152

List of positive integer factors of 35152 that divides 35140 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2197, 2704, 4394, 8788, 17576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35140 and 35152. The biggest common factor number is the GCF number.
So the greatest common factor 35140 and 35152 is 4.

Also check out the Least Common Multiple of 35140 and 35152