What is the Greatest Common Factor of 55014 and 55020?

Greatest common factor (GCF) of 55014 and 55020 is 6.

GCF(55014,55020) = 6

We will now calculate the prime factors of 55014 and 55020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55014 and 55020.

How to find the GCF of 55014 and 55020?

We will first find the prime factorization of 55014 and 55020. After we will calculate the factors of 55014 and 55020 and find the biggest common factor number .

Step-1: Prime Factorization of 55014

Prime factors of 55014 are 2, 3, 53, 173. Prime factorization of 55014 in exponential form is:

55014 = 2¹ × 3¹ × 53¹ × 173¹

Step-2: Prime Factorization of 55020

Prime factors of 55020 are 2, 3, 5, 7, 131. Prime factorization of 55020 in exponential form is:

55020 = 2² × 3¹ × 5¹ × 7¹ × 131¹

Step-3: Factors of 55014

List of positive integer factors of 55014 that divides 55014 without a remainder.

1, 2, 3, 6, 53, 106, 159, 173, 318, 346, 519, 1038, 9169, 18338, 27507

Step-4: Factors of 55020

List of positive integer factors of 55020 that divides 55014 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 131, 140, 210, 262, 393, 420, 524, 655, 786, 917, 1310, 1572, 1834, 1965, 2620, 2751, 3668, 3930, 4585, 5502, 7860, 9170, 11004, 13755, 18340, 27510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55014 and 55020. The biggest common factor number is the GCF number.
So the greatest common factor 55014 and 55020 is 6.

Also check out the Least Common Multiple of 55014 and 55020