What is the Greatest Common Factor of 62000 and 62020?

Greatest common factor (GCF) of 62000 and 62020 is 20.

GCF(62000,62020) = 20

We will now calculate the prime factors of 62000 and 62020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62000 and 62020.

How to find the GCF of 62000 and 62020?

We will first find the prime factorization of 62000 and 62020. After we will calculate the factors of 62000 and 62020 and find the biggest common factor number .

Step-1: Prime Factorization of 62000

Prime factors of 62000 are 2, 5, 31. Prime factorization of 62000 in exponential form is:

62000 = 2⁴ × 5³ × 31¹

Step-2: Prime Factorization of 62020

Prime factors of 62020 are 2, 5, 7, 443. Prime factorization of 62020 in exponential form is:

62020 = 2² × 5¹ × 7¹ × 443¹

Step-3: Factors of 62000

List of positive integer factors of 62000 that divides 62000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 40, 50, 62, 80, 100, 124, 125, 155, 200, 248, 250, 310, 400, 496, 500, 620, 775, 1000, 1240, 1550, 2000, 2480, 3100, 3875, 6200, 7750, 12400, 15500, 31000

Step-4: Factors of 62020

List of positive integer factors of 62020 that divides 62000 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 443, 886, 1772, 2215, 3101, 4430, 6202, 8860, 12404, 15505, 31010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62000 and 62020. The biggest common factor number is the GCF number.
So the greatest common factor 62000 and 62020 is 20.

Also check out the Least Common Multiple of 62000 and 62020