What is the Greatest Common Factor of 55020 and 55036?

Greatest common factor (GCF) of 55020 and 55036 is 4.

GCF(55020,55036) = 4

We will now calculate the prime factors of 55020 and 55036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55020 and 55036.

How to find the GCF of 55020 and 55036?

We will first find the prime factorization of 55020 and 55036. After we will calculate the factors of 55020 and 55036 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55036

Prime factors of 55036 are 2, 13759. Prime factorization of 55036 in exponential form is:

55036 = 2² × 13759¹

Step-3: Factors of 55020

List of positive integer factors of 55020 that divides 55020 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

Step-4: Factors of 55036

List of positive integer factors of 55036 that divides 55020 without a remainder.

1, 2, 4, 13759, 27518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55020 and 55036. The biggest common factor number is the GCF number.
So the greatest common factor 55020 and 55036 is 4.

Also check out the Least Common Multiple of 55020 and 55036