What is the Greatest Common Factor of 59998 and 60010?

Greatest common factor (GCF) of 59998 and 60010 is 2.

GCF(59998,60010) = 2

We will now calculate the prime factors of 59998 and 60010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59998 and 60010.

How to find the GCF of 59998 and 60010?

We will first find the prime factorization of 59998 and 60010. After we will calculate the factors of 59998 and 60010 and find the biggest common factor number .

Step-1: Prime Factorization of 59998

Prime factors of 59998 are 2, 131, 229. Prime factorization of 59998 in exponential form is:

59998 = 2¹ × 131¹ × 229¹

Step-2: Prime Factorization of 60010

Prime factors of 60010 are 2, 5, 17, 353. Prime factorization of 60010 in exponential form is:

60010 = 2¹ × 5¹ × 17¹ × 353¹

Step-3: Factors of 59998

List of positive integer factors of 59998 that divides 59998 without a remainder.

1, 2, 131, 229, 262, 458, 29999

Step-4: Factors of 60010

List of positive integer factors of 60010 that divides 59998 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 353, 706, 1765, 3530, 6001, 12002, 30005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59998 and 60010. The biggest common factor number is the GCF number.
So the greatest common factor 59998 and 60010 is 2.

Also check out the Least Common Multiple of 59998 and 60010