What is the Greatest Common Factor of 52928 and 52942?

Greatest common factor (GCF) of 52928 and 52942 is 2.

GCF(52928,52942) = 2

We will now calculate the prime factors of 52928 and 52942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52928 and 52942.

How to find the GCF of 52928 and 52942?

We will first find the prime factorization of 52928 and 52942. After we will calculate the factors of 52928 and 52942 and find the biggest common factor number .

Step-1: Prime Factorization of 52928

Prime factors of 52928 are 2, 827. Prime factorization of 52928 in exponential form is:

52928 = 2⁶ × 827¹

Step-2: Prime Factorization of 52942

Prime factors of 52942 are 2, 103, 257. Prime factorization of 52942 in exponential form is:

52942 = 2¹ × 103¹ × 257¹

Step-3: Factors of 52928

List of positive integer factors of 52928 that divides 52928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 827, 1654, 3308, 6616, 13232, 26464

Step-4: Factors of 52942

List of positive integer factors of 52942 that divides 52928 without a remainder.

1, 2, 103, 206, 257, 514, 26471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52928 and 52942. The biggest common factor number is the GCF number.
So the greatest common factor 52928 and 52942 is 2.

Also check out the Least Common Multiple of 52928 and 52942