What is the Greatest Common Factor of 35161 and 35168?

Greatest common factor (GCF) of 35161 and 35168 is 7.

GCF(35161,35168) = 7

We will now calculate the prime factors of 35161 and 35168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35161 and 35168.

How to find the GCF of 35161 and 35168?

We will first find the prime factorization of 35161 and 35168. After we will calculate the factors of 35161 and 35168 and find the biggest common factor number .

Step-1: Prime Factorization of 35161

Prime factors of 35161 are 7, 5023. Prime factorization of 35161 in exponential form is:

35161 = 7¹ × 5023¹

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 35161

List of positive integer factors of 35161 that divides 35161 without a remainder.

1, 7, 5023

Step-4: Factors of 35168

List of positive integer factors of 35168 that divides 35161 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 35161 and 35168. The biggest common factor number is the GCF number.
So the greatest common factor 35161 and 35168 is 7.

Also check out the Least Common Multiple of 35161 and 35168