What is the Greatest Common Factor of 52936 and 52954?

Greatest common factor (GCF) of 52936 and 52954 is 2.

GCF(52936,52954) = 2

We will now calculate the prime factors of 52936 and 52954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52936 and 52954.

How to find the GCF of 52936 and 52954?

We will first find the prime factorization of 52936 and 52954. After we will calculate the factors of 52936 and 52954 and find the biggest common factor number .

Step-1: Prime Factorization of 52936

Prime factors of 52936 are 2, 13, 509. Prime factorization of 52936 in exponential form is:

52936 = 2³ × 13¹ × 509¹

Step-2: Prime Factorization of 52954

Prime factors of 52954 are 2, 11, 29, 83. Prime factorization of 52954 in exponential form is:

52954 = 2¹ × 11¹ × 29¹ × 83¹

Step-3: Factors of 52936

List of positive integer factors of 52936 that divides 52936 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 509, 1018, 2036, 4072, 6617, 13234, 26468

Step-4: Factors of 52954

List of positive integer factors of 52954 that divides 52936 without a remainder.

1, 2, 11, 22, 29, 58, 83, 166, 319, 638, 913, 1826, 2407, 4814, 26477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52936 and 52954. The biggest common factor number is the GCF number.
So the greatest common factor 52936 and 52954 is 2.

Also check out the Least Common Multiple of 52936 and 52954