What is the Greatest Common Factor of 75000 and 75005?

Greatest common factor (GCF) of 75000 and 75005 is 5.

GCF(75000,75005) = 5

We will now calculate the prime factors of 75000 and 75005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75000 and 75005.

How to find the GCF of 75000 and 75005?

We will first find the prime factorization of 75000 and 75005. After we will calculate the factors of 75000 and 75005 and find the biggest common factor number .

Step-1: Prime Factorization of 75000

Prime factors of 75000 are 2, 3, 5. Prime factorization of 75000 in exponential form is:

75000 = 2³ × 3¹ × 5⁵

Step-2: Prime Factorization of 75005

Prime factors of 75005 are 5, 7, 2143. Prime factorization of 75005 in exponential form is:

75005 = 5¹ × 7¹ × 2143¹

Step-3: Factors of 75000

List of positive integer factors of 75000 that divides 75000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3125, 3750, 5000, 6250, 7500, 9375, 12500, 15000, 18750, 25000, 37500

Step-4: Factors of 75005

List of positive integer factors of 75005 that divides 75000 without a remainder.

1, 5, 7, 35, 2143, 10715, 15001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75000 and 75005. The biggest common factor number is the GCF number.
So the greatest common factor 75000 and 75005 is 5.

Also check out the Least Common Multiple of 75000 and 75005