What is the Greatest Common Factor of 35000 and 35005?

Greatest common factor (GCF) of 35000 and 35005 is 5.

GCF(35000,35005) = 5

We will now calculate the prime factors of 35000 and 35005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35000 and 35005.

How to find the GCF of 35000 and 35005?

We will first find the prime factorization of 35000 and 35005. After we will calculate the factors of 35000 and 35005 and find the biggest common factor number .

Step-1: Prime Factorization of 35000

Prime factors of 35000 are 2, 5, 7. Prime factorization of 35000 in exponential form is:

35000 = 2³ × 5⁴ × 7¹

Step-2: Prime Factorization of 35005

Prime factors of 35005 are 5, 7001. Prime factorization of 35005 in exponential form is:

35005 = 5¹ × 7001¹

Step-3: Factors of 35000

List of positive integer factors of 35000 that divides 35000 without a remainder.

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

Step-4: Factors of 35005

List of positive integer factors of 35005 that divides 35000 without a remainder.

1, 5, 7001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35000 and 35005. The biggest common factor number is the GCF number.
So the greatest common factor 35000 and 35005 is 5.

Also check out the Least Common Multiple of 35000 and 35005