What is the Greatest Common Factor of 15178 and 15196?

Greatest common factor (GCF) of 15178 and 15196 is 2.

GCF(15178,15196) = 2

We will now calculate the prime factors of 15178 and 15196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15178 and 15196.

How to find the GCF of 15178 and 15196?

We will first find the prime factorization of 15178 and 15196. After we will calculate the factors of 15178 and 15196 and find the biggest common factor number .

Step-1: Prime Factorization of 15178

Prime factors of 15178 are 2, 7589. Prime factorization of 15178 in exponential form is:

15178 = 2¹ × 7589¹

Step-2: Prime Factorization of 15196

Prime factors of 15196 are 2, 29, 131. Prime factorization of 15196 in exponential form is:

15196 = 2² × 29¹ × 131¹

Step-3: Factors of 15178

List of positive integer factors of 15178 that divides 15178 without a remainder.

1, 2, 7589

Step-4: Factors of 15196

List of positive integer factors of 15196 that divides 15178 without a remainder.

1, 2, 4, 29, 58, 116, 131, 262, 524, 3799, 7598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15178 and 15196. The biggest common factor number is the GCF number.
So the greatest common factor 15178 and 15196 is 2.

Also check out the Least Common Multiple of 15178 and 15196