What is the Greatest Common Factor of 55020 and 55030?

Greatest common factor (GCF) of 55020 and 55030 is 10.

GCF(55020,55030) = 10

We will now calculate the prime factors of 55020 and 55030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55020 and 55030.

How to find the GCF of 55020 and 55030?

We will first find the prime factorization of 55020 and 55030. After we will calculate the factors of 55020 and 55030 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 55030

Prime factors of 55030 are 2, 5, 5503. Prime factorization of 55030 in exponential form is:

55030 = 2¹ × 5¹ × 5503¹

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 55030

List of positive integer factors of 55030 that divides 55020 without a remainder.

1, 2, 5, 10, 5503, 11006, 27515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55020 and 55030. The biggest common factor number is the GCF number.
So the greatest common factor 55020 and 55030 is 10.

Also check out the Least Common Multiple of 55020 and 55030