What is the Greatest Common Factor of 53928 and 53946?

Greatest common factor (GCF) of 53928 and 53946 is 18.

GCF(53928,53946) = 18

We will now calculate the prime factors of 53928 and 53946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53928 and 53946.

How to find the GCF of 53928 and 53946?

We will first find the prime factorization of 53928 and 53946. After we will calculate the factors of 53928 and 53946 and find the biggest common factor number .

Step-1: Prime Factorization of 53928

Prime factors of 53928 are 2, 3, 7, 107. Prime factorization of 53928 in exponential form is:

53928 = 2³ × 3² × 7¹ × 107¹

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 53928

List of positive integer factors of 53928 that divides 53928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 107, 126, 168, 214, 252, 321, 428, 504, 642, 749, 856, 963, 1284, 1498, 1926, 2247, 2568, 2996, 3852, 4494, 5992, 6741, 7704, 8988, 13482, 17976, 26964

Step-4: Factors of 53946

List of positive integer factors of 53946 that divides 53928 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 53928 and 53946. The biggest common factor number is the GCF number.
So the greatest common factor 53928 and 53946 is 18.

Also check out the Least Common Multiple of 53928 and 53946