What is the Greatest Common Factor of 52144 and 52154?

Greatest common factor (GCF) of 52144 and 52154 is 2.

GCF(52144,52154) = 2

We will now calculate the prime factors of 52144 and 52154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52144 and 52154.

How to find the GCF of 52144 and 52154?

We will first find the prime factorization of 52144 and 52154. After we will calculate the factors of 52144 and 52154 and find the biggest common factor number .

Step-1: Prime Factorization of 52144

Prime factors of 52144 are 2, 3259. Prime factorization of 52144 in exponential form is:

52144 = 2⁴ × 3259¹

Step-2: 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-3: Factors of 52144

List of positive integer factors of 52144 that divides 52144 without a remainder.

1, 2, 4, 8, 16, 3259, 6518, 13036, 26072

Step-4: Factors of 52154

List of positive integer factors of 52154 that divides 52144 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52144 and 52154. The biggest common factor number is the GCF number.
So the greatest common factor 52144 and 52154 is 2.

Also check out the Least Common Multiple of 52144 and 52154