What is the Greatest Common Factor of 53000 and 53020?

Greatest common factor (GCF) of 53000 and 53020 is 20.

GCF(53000,53020) = 20

We will now calculate the prime factors of 53000 and 53020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53000 and 53020.

How to find the GCF of 53000 and 53020?

We will first find the prime factorization of 53000 and 53020. After we will calculate the factors of 53000 and 53020 and find the biggest common factor number .

Step-1: Prime Factorization of 53000

Prime factors of 53000 are 2, 5, 53. Prime factorization of 53000 in exponential form is:

53000 = 2³ × 5³ × 53¹

Step-2: Prime Factorization of 53020

Prime factors of 53020 are 2, 5, 11, 241. Prime factorization of 53020 in exponential form is:

53020 = 2² × 5¹ × 11¹ × 241¹

Step-3: Factors of 53000

List of positive integer factors of 53000 that divides 53000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 53, 100, 106, 125, 200, 212, 250, 265, 424, 500, 530, 1000, 1060, 1325, 2120, 2650, 5300, 6625, 10600, 13250, 26500

Step-4: Factors of 53020

List of positive integer factors of 53020 that divides 53000 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 241, 482, 964, 1205, 2410, 2651, 4820, 5302, 10604, 13255, 26510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53000 and 53020. The biggest common factor number is the GCF number.
So the greatest common factor 53000 and 53020 is 20.

Also check out the Least Common Multiple of 53000 and 53020