What is the Greatest Common Factor of 55929 and 55944?

Greatest common factor (GCF) of 55929 and 55944 is 3.

GCF(55929,55944) = 3

We will now calculate the prime factors of 55929 and 55944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55929 and 55944.

How to find the GCF of 55929 and 55944?

We will first find the prime factorization of 55929 and 55944. After we will calculate the factors of 55929 and 55944 and find the biggest common factor number .

Step-1: Prime Factorization of 55929

Prime factors of 55929 are 3, 103, 181. Prime factorization of 55929 in exponential form is:

55929 = 3¹ × 103¹ × 181¹

Step-2: Prime Factorization of 55944

Prime factors of 55944 are 2, 3, 7, 37. Prime factorization of 55944 in exponential form is:

55944 = 2³ × 3³ × 7¹ × 37¹

Step-3: Factors of 55929

List of positive integer factors of 55929 that divides 55929 without a remainder.

1, 3, 103, 181, 309, 543, 18643

Step-4: Factors of 55944

List of positive integer factors of 55944 that divides 55929 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 37, 42, 54, 56, 63, 72, 74, 84, 108, 111, 126, 148, 168, 189, 216, 222, 252, 259, 296, 333, 378, 444, 504, 518, 666, 756, 777, 888, 999, 1036, 1332, 1512, 1554, 1998, 2072, 2331, 2664, 3108, 3996, 4662, 6216, 6993, 7992, 9324, 13986, 18648, 27972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55929 and 55944. The biggest common factor number is the GCF number.
So the greatest common factor 55929 and 55944 is 3.

Also check out the Least Common Multiple of 55929 and 55944