What is the Greatest Common Factor of 69000 and 69019?

Greatest common factor (GCF) of 69000 and 69019 is 1.

GCF(69000,69019) = 1

We will now calculate the prime factors of 69000 and 69019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69000 and 69019.

How to find the GCF of 69000 and 69019?

We will first find the prime factorization of 69000 and 69019. After we will calculate the factors of 69000 and 69019 and find the biggest common factor number .

Step-1: Prime Factorization of 69000

Prime factors of 69000 are 2, 3, 5, 23. Prime factorization of 69000 in exponential form is:

69000 = 2³ × 3¹ × 5³ × 23¹

Step-2: Prime Factorization of 69019

Prime factors of 69019 are 69019. Prime factorization of 69019 in exponential form is:

69019 = 69019¹

Step-3: Factors of 69000

List of positive integer factors of 69000 that divides 69000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 25, 30, 40, 46, 50, 60, 69, 75, 92, 100, 115, 120, 125, 138, 150, 184, 200, 230, 250, 276, 300, 345, 375, 460, 500, 552, 575, 600, 690, 750, 920, 1000, 1150, 1380, 1500, 1725, 2300, 2760, 2875, 3000, 3450, 4600, 5750, 6900, 8625, 11500, 13800, 17250, 23000, 34500

Step-4: Factors of 69019

List of positive integer factors of 69019 that divides 69000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69000 and 69019. The biggest common factor number is the GCF number.
So the greatest common factor 69000 and 69019 is 1.

Also check out the Least Common Multiple of 69000 and 69019