What is the Greatest Common Factor of 55932 and 55946?

Greatest common factor (GCF) of 55932 and 55946 is 2.

GCF(55932,55946) = 2

We will now calculate the prime factors of 55932 and 55946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55932 and 55946.

How to find the GCF of 55932 and 55946?

We will first find the prime factorization of 55932 and 55946. After we will calculate the factors of 55932 and 55946 and find the biggest common factor number .

Step-1: Prime Factorization of 55932

Prime factors of 55932 are 2, 3, 59, 79. Prime factorization of 55932 in exponential form is:

55932 = 2² × 3¹ × 59¹ × 79¹

Step-2: Prime Factorization of 55946

Prime factors of 55946 are 2, 11, 2543. Prime factorization of 55946 in exponential form is:

55946 = 2¹ × 11¹ × 2543¹

Step-3: Factors of 55932

List of positive integer factors of 55932 that divides 55932 without a remainder.

1, 2, 3, 4, 6, 12, 59, 79, 118, 158, 177, 236, 237, 316, 354, 474, 708, 948, 4661, 9322, 13983, 18644, 27966

Step-4: Factors of 55946

List of positive integer factors of 55946 that divides 55932 without a remainder.

1, 2, 11, 22, 2543, 5086, 27973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55932 and 55946. The biggest common factor number is the GCF number.
So the greatest common factor 55932 and 55946 is 2.

Also check out the Least Common Multiple of 55932 and 55946