What is the Greatest Common Factor of 69990 and 70000?

Greatest common factor (GCF) of 69990 and 70000 is 10.

GCF(69990,70000) = 10

We will now calculate the prime factors of 69990 and 70000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69990 and 70000.

How to find the GCF of 69990 and 70000?

We will first find the prime factorization of 69990 and 70000. After we will calculate the factors of 69990 and 70000 and find the biggest common factor number .

Step-1: Prime Factorization of 69990

Prime factors of 69990 are 2, 3, 5, 2333. Prime factorization of 69990 in exponential form is:

69990 = 2¹ × 3¹ × 5¹ × 2333¹

Step-2: 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-3: Factors of 69990

List of positive integer factors of 69990 that divides 69990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2333, 4666, 6999, 11665, 13998, 23330, 34995

Step-4: Factors of 70000

List of positive integer factors of 70000 that divides 69990 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69990 and 70000. The biggest common factor number is the GCF number.
So the greatest common factor 69990 and 70000 is 10.

Also check out the Least Common Multiple of 69990 and 70000