What is the Greatest Common Factor of 62982 and 62999?

Greatest common factor (GCF) of 62982 and 62999 is 1.

GCF(62982,62999) = 1

We will now calculate the prime factors of 62982 and 62999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62982 and 62999.

How to find the GCF of 62982 and 62999?

We will first find the prime factorization of 62982 and 62999. After we will calculate the factors of 62982 and 62999 and find the biggest common factor number .

Step-1: Prime Factorization of 62982

Prime factors of 62982 are 2, 3, 3499. Prime factorization of 62982 in exponential form is:

62982 = 2¹ × 3² × 3499¹

Step-2: Prime Factorization of 62999

Prime factors of 62999 are 73, 863. Prime factorization of 62999 in exponential form is:

62999 = 73¹ × 863¹

Step-3: Factors of 62982

List of positive integer factors of 62982 that divides 62982 without a remainder.

1, 2, 3, 6, 9, 18, 3499, 6998, 10497, 20994, 31491

Step-4: Factors of 62999

List of positive integer factors of 62999 that divides 62982 without a remainder.

1, 73, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62982 and 62999. The biggest common factor number is the GCF number.
So the greatest common factor 62982 and 62999 is 1.

Also check out the Least Common Multiple of 62982 and 62999