What is the Greatest Common Factor of 46000 and 46005?

Greatest common factor (GCF) of 46000 and 46005 is 5.

GCF(46000,46005) = 5

We will now calculate the prime factors of 46000 and 46005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46000 and 46005.

How to find the GCF of 46000 and 46005?

We will first find the prime factorization of 46000 and 46005. After we will calculate the factors of 46000 and 46005 and find the biggest common factor number .

Step-1: Prime Factorization of 46000

Prime factors of 46000 are 2, 5, 23. Prime factorization of 46000 in exponential form is:

46000 = 2⁴ × 5³ × 23¹

Step-2: Prime Factorization of 46005

Prime factors of 46005 are 3, 5, 3067. Prime factorization of 46005 in exponential form is:

46005 = 3¹ × 5¹ × 3067¹

Step-3: Factors of 46000

List of positive integer factors of 46000 that divides 46000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 125, 184, 200, 230, 250, 368, 400, 460, 500, 575, 920, 1000, 1150, 1840, 2000, 2300, 2875, 4600, 5750, 9200, 11500, 23000

Step-4: Factors of 46005

List of positive integer factors of 46005 that divides 46000 without a remainder.

1, 3, 5, 15, 3067, 9201, 15335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46000 and 46005. The biggest common factor number is the GCF number.
So the greatest common factor 46000 and 46005 is 5.

Also check out the Least Common Multiple of 46000 and 46005