What is the Greatest Common Factor of 56174 and 56178?

Greatest common factor (GCF) of 56174 and 56178 is 2.

GCF(56174,56178) = 2

We will now calculate the prime factors of 56174 and 56178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56174 and 56178.

How to find the GCF of 56174 and 56178?

We will first find the prime factorization of 56174 and 56178. After we will calculate the factors of 56174 and 56178 and find the biggest common factor number .

Step-1: Prime Factorization of 56174

Prime factors of 56174 are 2, 28087. Prime factorization of 56174 in exponential form is:

56174 = 2¹ × 28087¹

Step-2: Prime Factorization of 56178

Prime factors of 56178 are 2, 3, 3121. Prime factorization of 56178 in exponential form is:

56178 = 2¹ × 3² × 3121¹

Step-3: Factors of 56174

List of positive integer factors of 56174 that divides 56174 without a remainder.

1, 2, 28087

Step-4: Factors of 56178

List of positive integer factors of 56178 that divides 56174 without a remainder.

1, 2, 3, 6, 9, 18, 3121, 6242, 9363, 18726, 28089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56174 and 56178. The biggest common factor number is the GCF number.
So the greatest common factor 56174 and 56178 is 2.

Also check out the Least Common Multiple of 56174 and 56178