What is the Greatest Common Factor of 52154 and 52168?

Greatest common factor (GCF) of 52154 and 52168 is 2.

GCF(52154,52168) = 2

We will now calculate the prime factors of 52154 and 52168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52154 and 52168.

How to find the GCF of 52154 and 52168?

We will first find the prime factorization of 52154 and 52168. After we will calculate the factors of 52154 and 52168 and find the biggest common factor number .

Step-1: Prime Factorization of 52154

Prime factors of 52154 are 2, 89, 293. Prime factorization of 52154 in exponential form is:

52154 = 2¹ × 89¹ × 293¹

Step-2: Prime Factorization of 52168

Prime factors of 52168 are 2, 6521. Prime factorization of 52168 in exponential form is:

52168 = 2³ × 6521¹

Step-3: Factors of 52154

List of positive integer factors of 52154 that divides 52154 without a remainder.

1, 2, 89, 178, 293, 586, 26077

Step-4: Factors of 52168

List of positive integer factors of 52168 that divides 52154 without a remainder.

1, 2, 4, 8, 6521, 13042, 26084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52154 and 52168. The biggest common factor number is the GCF number.
So the greatest common factor 52154 and 52168 is 2.

Also check out the Least Common Multiple of 52154 and 52168