What is the Greatest Common Factor of 59982 and 60002?

Greatest common factor (GCF) of 59982 and 60002 is 2.

GCF(59982,60002) = 2

We will now calculate the prime factors of 59982 and 60002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59982 and 60002.

How to find the GCF of 59982 and 60002?

We will first find the prime factorization of 59982 and 60002. After we will calculate the factors of 59982 and 60002 and find the biggest common factor number .

Step-1: Prime Factorization of 59982

Prime factors of 59982 are 2, 3, 13, 769. Prime factorization of 59982 in exponential form is:

59982 = 2¹ × 3¹ × 13¹ × 769¹

Step-2: Prime Factorization of 60002

Prime factors of 60002 are 2, 19, 1579. Prime factorization of 60002 in exponential form is:

60002 = 2¹ × 19¹ × 1579¹

Step-3: Factors of 59982

List of positive integer factors of 59982 that divides 59982 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 769, 1538, 2307, 4614, 9997, 19994, 29991

Step-4: Factors of 60002

List of positive integer factors of 60002 that divides 59982 without a remainder.

1, 2, 19, 38, 1579, 3158, 30001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59982 and 60002. The biggest common factor number is the GCF number.
So the greatest common factor 59982 and 60002 is 2.

Also check out the Least Common Multiple of 59982 and 60002