What is the Greatest Common Factor of 70000 and 70018?

Greatest common factor (GCF) of 70000 and 70018 is 2.

GCF(70000,70018) = 2

We will now calculate the prime factors of 70000 and 70018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70000 and 70018.

How to find the GCF of 70000 and 70018?

We will first find the prime factorization of 70000 and 70018. After we will calculate the factors of 70000 and 70018 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 70018

Prime factors of 70018 are 2, 13, 2693. Prime factorization of 70018 in exponential form is:

70018 = 2¹ × 13¹ × 2693¹

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 70018

List of positive integer factors of 70018 that divides 70000 without a remainder.

1, 2, 13, 26, 2693, 5386, 35009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70000 and 70018. The biggest common factor number is the GCF number.
So the greatest common factor 70000 and 70018 is 2.

Also check out the Least Common Multiple of 70000 and 70018