What is the Greatest Common Factor of 70000 and 70006?

Greatest common factor (GCF) of 70000 and 70006 is 2.

GCF(70000,70006) = 2

We will now calculate the prime factors of 70000 and 70006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70000 and 70006.

How to find the GCF of 70000 and 70006?

We will first find the prime factorization of 70000 and 70006. After we will calculate the factors of 70000 and 70006 and find the biggest common factor number .

Step-1: Prime Factorization of 70000

Prime factors of 70000 are 2, 5, 7. Prime factorization of 70000 in exponential form is:

70000 = 2⁴ × 5⁴ × 7¹

Step-2: Prime Factorization of 70006

Prime factors of 70006 are 2, 17, 29, 71. Prime factorization of 70006 in exponential form is:

70006 = 2¹ × 17¹ × 29¹ × 71¹

Step-3: Factors of 70000

List of positive integer factors of 70000 that divides 70000 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 125, 140, 175, 200, 250, 280, 350, 400, 500, 560, 625, 700, 875, 1000, 1250, 1400, 1750, 2000, 2500, 2800, 3500, 4375, 5000, 7000, 8750, 10000, 14000, 17500, 35000

Step-4: Factors of 70006

List of positive integer factors of 70006 that divides 70000 without a remainder.

1, 2, 17, 29, 34, 58, 71, 142, 493, 986, 1207, 2059, 2414, 4118, 35003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70000 and 70006. The biggest common factor number is the GCF number.
So the greatest common factor 70000 and 70006 is 2.

Also check out the Least Common Multiple of 70000 and 70006