What is the Greatest Common Factor of 62984 and 62994?

Greatest common factor (GCF) of 62984 and 62994 is 2.

GCF(62984,62994) = 2

We will now calculate the prime factors of 62984 and 62994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62984 and 62994.

How to find the GCF of 62984 and 62994?

We will first find the prime factorization of 62984 and 62994. After we will calculate the factors of 62984 and 62994 and find the biggest common factor number .

Step-1: Prime Factorization of 62984

Prime factors of 62984 are 2, 7873. Prime factorization of 62984 in exponential form is:

62984 = 2³ × 7873¹

Step-2: Prime Factorization of 62994

Prime factors of 62994 are 2, 3, 10499. Prime factorization of 62994 in exponential form is:

62994 = 2¹ × 3¹ × 10499¹

Step-3: Factors of 62984

List of positive integer factors of 62984 that divides 62984 without a remainder.

1, 2, 4, 8, 7873, 15746, 31492

Step-4: Factors of 62994

List of positive integer factors of 62994 that divides 62984 without a remainder.

1, 2, 3, 6, 10499, 20998, 31497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62984 and 62994. The biggest common factor number is the GCF number.
So the greatest common factor 62984 and 62994 is 2.

Also check out the Least Common Multiple of 62984 and 62994