What is the Greatest Common Factor of 62000 and 62019?

Greatest common factor (GCF) of 62000 and 62019 is 1.

GCF(62000,62019) = 1

We will now calculate the prime factors of 62000 and 62019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62000 and 62019.

How to find the GCF of 62000 and 62019?

We will first find the prime factorization of 62000 and 62019. After we will calculate the factors of 62000 and 62019 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 62019

Prime factors of 62019 are 3, 2297. Prime factorization of 62019 in exponential form is:

62019 = 3³ × 2297¹

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 62019

List of positive integer factors of 62019 that divides 62000 without a remainder.

1, 3, 9, 27, 2297, 6891, 20673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62000 and 62019. The biggest common factor number is the GCF number.
So the greatest common factor 62000 and 62019 is 1.

Also check out the Least Common Multiple of 62000 and 62019