What is the Greatest Common Factor of 95000 and 95014?

Greatest common factor (GCF) of 95000 and 95014 is 2.

GCF(95000,95014) = 2

We will now calculate the prime factors of 95000 and 95014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95000 and 95014.

How to find the GCF of 95000 and 95014?

We will first find the prime factorization of 95000 and 95014. After we will calculate the factors of 95000 and 95014 and find the biggest common factor number .

Step-1: Prime Factorization of 95000

Prime factors of 95000 are 2, 5, 19. Prime factorization of 95000 in exponential form is:

95000 = 2³ × 5⁴ × 19¹

Step-2: Prime Factorization of 95014

Prime factors of 95014 are 2, 47507. Prime factorization of 95014 in exponential form is:

95014 = 2¹ × 47507¹

Step-3: Factors of 95000

List of positive integer factors of 95000 that divides 95000 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 125, 152, 190, 200, 250, 380, 475, 500, 625, 760, 950, 1000, 1250, 1900, 2375, 2500, 3800, 4750, 5000, 9500, 11875, 19000, 23750, 47500

Step-4: Factors of 95014

List of positive integer factors of 95014 that divides 95000 without a remainder.

1, 2, 47507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95000 and 95014. The biggest common factor number is the GCF number.
So the greatest common factor 95000 and 95014 is 2.

Also check out the Least Common Multiple of 95000 and 95014