What is the Greatest Common Factor of 59995 and 60014?

Greatest common factor (GCF) of 59995 and 60014 is 1.

GCF(59995,60014) = 1

We will now calculate the prime factors of 59995 and 60014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59995 and 60014.

How to find the GCF of 59995 and 60014?

We will first find the prime factorization of 59995 and 60014. After we will calculate the factors of 59995 and 60014 and find the biggest common factor number .

Step-1: Prime Factorization of 59995

Prime factors of 59995 are 5, 13, 71. Prime factorization of 59995 in exponential form is:

59995 = 5¹ × 13² × 71¹

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 59995

List of positive integer factors of 59995 that divides 59995 without a remainder.

1, 5, 13, 65, 71, 169, 355, 845, 923, 4615, 11999

Step-4: Factors of 60014

List of positive integer factors of 60014 that divides 59995 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59995 and 60014. The biggest common factor number is the GCF number.
So the greatest common factor 59995 and 60014 is 1.

Also check out the Least Common Multiple of 59995 and 60014