What is the Greatest Common Factor of 62982 and 63002?

Greatest common factor (GCF) of 62982 and 63002 is 2.

GCF(62982,63002) = 2

We will now calculate the prime factors of 62982 and 63002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62982 and 63002.

How to find the GCF of 62982 and 63002?

We will first find the prime factorization of 62982 and 63002. After we will calculate the factors of 62982 and 63002 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 63002

Prime factors of 63002 are 2, 17, 109. Prime factorization of 63002 in exponential form is:

63002 = 2¹ × 17² × 109¹

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 63002

List of positive integer factors of 63002 that divides 62982 without a remainder.

1, 2, 17, 34, 109, 218, 289, 578, 1853, 3706, 31501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62982 and 63002. The biggest common factor number is the GCF number.
So the greatest common factor 62982 and 63002 is 2.

Also check out the Least Common Multiple of 62982 and 63002