What is the Greatest Common Factor of 53946 and 53954?

Greatest common factor (GCF) of 53946 and 53954 is 2.

GCF(53946,53954) = 2

We will now calculate the prime factors of 53946 and 53954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53946 and 53954.

How to find the GCF of 53946 and 53954?

We will first find the prime factorization of 53946 and 53954. After we will calculate the factors of 53946 and 53954 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53954

Prime factors of 53954 are 2, 53, 509. Prime factorization of 53954 in exponential form is:

53954 = 2¹ × 53¹ × 509¹

Step-3: Factors of 53946

List of positive integer factors of 53946 that divides 53946 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

Step-4: Factors of 53954

List of positive integer factors of 53954 that divides 53946 without a remainder.

1, 2, 53, 106, 509, 1018, 26977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53946 and 53954. The biggest common factor number is the GCF number.
So the greatest common factor 53946 and 53954 is 2.

Also check out the Least Common Multiple of 53946 and 53954