What is the Greatest Common Factor of 55010 and 55020?

Greatest common factor (GCF) of 55010 and 55020 is 10.

GCF(55010,55020) = 10

We will now calculate the prime factors of 55010 and 55020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55010 and 55020.

How to find the GCF of 55010 and 55020?

We will first find the prime factorization of 55010 and 55020. After we will calculate the factors of 55010 and 55020 and find the biggest common factor number .

Step-1: Prime Factorization of 55010

Prime factors of 55010 are 2, 5, 5501. Prime factorization of 55010 in exponential form is:

55010 = 2¹ × 5¹ × 5501¹

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 55010

List of positive integer factors of 55010 that divides 55010 without a remainder.

1, 2, 5, 10, 5501, 11002, 27505

Step-4: Factors of 55020

List of positive integer factors of 55020 that divides 55010 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 55010 and 55020. The biggest common factor number is the GCF number.
So the greatest common factor 55010 and 55020 is 10.

Also check out the Least Common Multiple of 55010 and 55020