What is the Greatest Common Factor of 60000 and 60014?

Greatest common factor (GCF) of 60000 and 60014 is 2.

GCF(60000,60014) = 2

We will now calculate the prime factors of 60000 and 60014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60000 and 60014.

How to find the GCF of 60000 and 60014?

We will first find the prime factorization of 60000 and 60014. After we will calculate the factors of 60000 and 60014 and find the biggest common factor number .

Step-1: Prime Factorization of 60000

Prime factors of 60000 are 2, 3, 5. Prime factorization of 60000 in exponential form is:

60000 = 2⁵ × 3¹ × 5⁴

Step-2: Prime Factorization of 60014

Prime factors of 60014 are 2, 37, 811. Prime factorization of 60014 in exponential form is:

60014 = 2¹ × 37¹ × 811¹

Step-3: Factors of 60000

List of positive integer factors of 60000 that divides 60000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 625, 750, 800, 1000, 1200, 1250, 1500, 1875, 2000, 2400, 2500, 3000, 3750, 4000, 5000, 6000, 7500, 10000, 12000, 15000, 20000, 30000

Step-4: Factors of 60014

List of positive integer factors of 60014 that divides 60000 without a remainder.

1, 2, 37, 74, 811, 1622, 30007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60000 and 60014. The biggest common factor number is the GCF number.
So the greatest common factor 60000 and 60014 is 2.

Also check out the Least Common Multiple of 60000 and 60014