What is the Greatest Common Factor of 35152 and 35166?

Greatest common factor (GCF) of 35152 and 35166 is 2.

GCF(35152,35166) = 2

We will now calculate the prime factors of 35152 and 35166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35152 and 35166.

How to find the GCF of 35152 and 35166?

We will first find the prime factorization of 35152 and 35166. After we will calculate the factors of 35152 and 35166 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 35166

Prime factors of 35166 are 2, 3, 5861. Prime factorization of 35166 in exponential form is:

35166 = 2¹ × 3¹ × 5861¹

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 35166

List of positive integer factors of 35166 that divides 35152 without a remainder.

1, 2, 3, 6, 5861, 11722, 17583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35152 and 35166. The biggest common factor number is the GCF number.
So the greatest common factor 35152 and 35166 is 2.

Also check out the Least Common Multiple of 35152 and 35166