What is the Greatest Common Factor of 52934 and 52952?

Greatest common factor (GCF) of 52934 and 52952 is 2.

GCF(52934,52952) = 2

We will now calculate the prime factors of 52934 and 52952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52934 and 52952.

How to find the GCF of 52934 and 52952?

We will first find the prime factorization of 52934 and 52952. After we will calculate the factors of 52934 and 52952 and find the biggest common factor number .

Step-1: Prime Factorization of 52934

Prime factors of 52934 are 2, 7, 19, 199. Prime factorization of 52934 in exponential form is:

52934 = 2¹ × 7¹ × 19¹ × 199¹

Step-2: Prime Factorization of 52952

Prime factors of 52952 are 2, 6619. Prime factorization of 52952 in exponential form is:

52952 = 2³ × 6619¹

Step-3: Factors of 52934

List of positive integer factors of 52934 that divides 52934 without a remainder.

1, 2, 7, 14, 19, 38, 133, 199, 266, 398, 1393, 2786, 3781, 7562, 26467

Step-4: Factors of 52952

List of positive integer factors of 52952 that divides 52934 without a remainder.

1, 2, 4, 8, 6619, 13238, 26476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52934 and 52952. The biggest common factor number is the GCF number.
So the greatest common factor 52934 and 52952 is 2.

Also check out the Least Common Multiple of 52934 and 52952