What is the Greatest Common Factor of 34176 and 34196?

Greatest common factor (GCF) of 34176 and 34196 is 4.

GCF(34176,34196) = 4

We will now calculate the prime factors of 34176 and 34196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34176 and 34196.

How to find the GCF of 34176 and 34196?

We will first find the prime factorization of 34176 and 34196. After we will calculate the factors of 34176 and 34196 and find the biggest common factor number .

Step-1: Prime Factorization of 34176

Prime factors of 34176 are 2, 3, 89. Prime factorization of 34176 in exponential form is:

34176 = 2⁷ × 3¹ × 89¹

Step-2: Prime Factorization of 34196

Prime factors of 34196 are 2, 83, 103. Prime factorization of 34196 in exponential form is:

34196 = 2² × 83¹ × 103¹

Step-3: Factors of 34176

List of positive integer factors of 34176 that divides 34176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 89, 96, 128, 178, 192, 267, 356, 384, 534, 712, 1068, 1424, 2136, 2848, 4272, 5696, 8544, 11392, 17088

Step-4: Factors of 34196

List of positive integer factors of 34196 that divides 34176 without a remainder.

1, 2, 4, 83, 103, 166, 206, 332, 412, 8549, 17098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34176 and 34196. The biggest common factor number is the GCF number.
So the greatest common factor 34176 and 34196 is 4.

Also check out the Least Common Multiple of 34176 and 34196