What is the Greatest Common Factor of 35168 and 35182?

Greatest common factor (GCF) of 35168 and 35182 is 14.

GCF(35168,35182) = 14

We will now calculate the prime factors of 35168 and 35182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35168 and 35182.

How to find the GCF of 35168 and 35182?

We will first find the prime factorization of 35168 and 35182. After we will calculate the factors of 35168 and 35182 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35182

Prime factors of 35182 are 2, 7, 359. Prime factorization of 35182 in exponential form is:

35182 = 2¹ × 7² × 359¹

Step-3: Factors of 35168

List of positive integer factors of 35168 that divides 35168 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

Step-4: Factors of 35182

List of positive integer factors of 35182 that divides 35168 without a remainder.

1, 2, 7, 14, 49, 98, 359, 718, 2513, 5026, 17591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35168 and 35182. The biggest common factor number is the GCF number.
So the greatest common factor 35168 and 35182 is 14.

Also check out the Least Common Multiple of 35168 and 35182