What is the Greatest Common Factor of 55000 and 55020?

Greatest common factor (GCF) of 55000 and 55020 is 20.

GCF(55000,55020) = 20

We will now calculate the prime factors of 55000 and 55020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55000 and 55020.

How to find the GCF of 55000 and 55020?

We will first find the prime factorization of 55000 and 55020. After we will calculate the factors of 55000 and 55020 and find the biggest common factor number .

Step-1: Prime Factorization of 55000

Prime factors of 55000 are 2, 5, 11. Prime factorization of 55000 in exponential form is:

55000 = 2³ × 5⁴ × 11¹

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 55000

List of positive integer factors of 55000 that divides 55000 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 200, 220, 250, 275, 440, 500, 550, 625, 1000, 1100, 1250, 1375, 2200, 2500, 2750, 5000, 5500, 6875, 11000, 13750, 27500

Step-4: Factors of 55020

List of positive integer factors of 55020 that divides 55000 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 55000 and 55020. The biggest common factor number is the GCF number.
So the greatest common factor 55000 and 55020 is 20.

Also check out the Least Common Multiple of 55000 and 55020