What is the Greatest Common Factor of 55020 and 55027?

Greatest common factor (GCF) of 55020 and 55027 is 7.

GCF(55020,55027) = 7

We will now calculate the prime factors of 55020 and 55027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55020 and 55027.

How to find the GCF of 55020 and 55027?

We will first find the prime factorization of 55020 and 55027. After we will calculate the factors of 55020 and 55027 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 55027

Prime factors of 55027 are 7, 1123. Prime factorization of 55027 in exponential form is:

55027 = 7² × 1123¹

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 55027

List of positive integer factors of 55027 that divides 55020 without a remainder.

1, 7, 49, 1123, 7861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55020 and 55027. The biggest common factor number is the GCF number.
So the greatest common factor 55020 and 55027 is 7.

Also check out the Least Common Multiple of 55020 and 55027