What is the Greatest Common Factor of 35152 and 35168?

Greatest common factor (GCF) of 35152 and 35168 is 16.

GCF(35152,35168) = 16

We will now calculate the prime factors of 35152 and 35168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35152 and 35168.

How to find the GCF of 35152 and 35168?

We will first find the prime factorization of 35152 and 35168. After we will calculate the factors of 35152 and 35168 and find the biggest common factor number .

Step-1: Prime Factorization of 35152

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

35152 = 2⁴ × 13³

Step-2: Prime Factorization of 35168

Prime factors of 35168 are 2, 7, 157. Prime factorization of 35168 in exponential form is:

35168 = 2⁵ × 7¹ × 157¹

Step-3: Factors of 35152

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

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

Step-4: Factors of 35168

List of positive integer factors of 35168 that divides 35152 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 157, 224, 314, 628, 1099, 1256, 2198, 2512, 4396, 5024, 8792, 17584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35152 and 35168. The biggest common factor number is the GCF number.
So the greatest common factor 35152 and 35168 is 16.

Also check out the Least Common Multiple of 35152 and 35168