What is the Greatest Common Factor of 62979 and 62994?

Greatest common factor (GCF) of 62979 and 62994 is 3.

GCF(62979,62994) = 3

We will now calculate the prime factors of 62979 and 62994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62979 and 62994.

How to find the GCF of 62979 and 62994?

We will first find the prime factorization of 62979 and 62994. After we will calculate the factors of 62979 and 62994 and find the biggest common factor number .

Step-1: Prime Factorization of 62979

Prime factors of 62979 are 3, 7, 2999. Prime factorization of 62979 in exponential form is:

62979 = 3¹ × 7¹ × 2999¹

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 62979

List of positive integer factors of 62979 that divides 62979 without a remainder.

1, 3, 7, 21, 2999, 8997, 20993

Step-4: Factors of 62994

List of positive integer factors of 62994 that divides 62979 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62979 and 62994. The biggest common factor number is the GCF number.
So the greatest common factor 62979 and 62994 is 3.

Also check out the Least Common Multiple of 62979 and 62994