What is the Greatest Common Factor of 53934 and 53946?

Greatest common factor (GCF) of 53934 and 53946 is 6.

GCF(53934,53946) = 6

We will now calculate the prime factors of 53934 and 53946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53934 and 53946.

How to find the GCF of 53934 and 53946?

We will first find the prime factorization of 53934 and 53946. After we will calculate the factors of 53934 and 53946 and find the biggest common factor number .

Step-1: Prime Factorization of 53934

Prime factors of 53934 are 2, 3, 89, 101. Prime factorization of 53934 in exponential form is:

53934 = 2¹ × 3¹ × 89¹ × 101¹

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 53934

List of positive integer factors of 53934 that divides 53934 without a remainder.

1, 2, 3, 6, 89, 101, 178, 202, 267, 303, 534, 606, 8989, 17978, 26967

Step-4: Factors of 53946

List of positive integer factors of 53946 that divides 53934 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 53934 and 53946. The biggest common factor number is the GCF number.
So the greatest common factor 53934 and 53946 is 6.

Also check out the Least Common Multiple of 53934 and 53946