What is the Greatest Common Factor of 53936 and 53946?

Greatest common factor (GCF) of 53936 and 53946 is 2.

GCF(53936,53946) = 2

We will now calculate the prime factors of 53936 and 53946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53936 and 53946.

How to find the GCF of 53936 and 53946?

We will first find the prime factorization of 53936 and 53946. After we will calculate the factors of 53936 and 53946 and find the biggest common factor number .

Step-1: Prime Factorization of 53936

Prime factors of 53936 are 2, 3371. Prime factorization of 53936 in exponential form is:

53936 = 2⁴ × 3371¹

Step-2: Prime Factorization of 53946

Prime factors of 53946 are 2, 3, 37. Prime factorization of 53946 in exponential form is:

53946 = 2¹ × 3⁶ × 37¹

Step-3: Factors of 53936

List of positive integer factors of 53936 that divides 53936 without a remainder.

1, 2, 4, 8, 16, 3371, 6742, 13484, 26968

Step-4: Factors of 53946

List of positive integer factors of 53946 that divides 53936 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 243, 333, 486, 666, 729, 999, 1458, 1998, 2997, 5994, 8991, 17982, 26973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53936 and 53946. The biggest common factor number is the GCF number.
So the greatest common factor 53936 and 53946 is 2.

Also check out the Least Common Multiple of 53936 and 53946