What is the Greatest Common Factor of 62978 and 62994?

Greatest common factor (GCF) of 62978 and 62994 is 2.

GCF(62978,62994) = 2

We will now calculate the prime factors of 62978 and 62994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62978 and 62994.

How to find the GCF of 62978 and 62994?

We will first find the prime factorization of 62978 and 62994. After we will calculate the factors of 62978 and 62994 and find the biggest common factor number .

Step-1: Prime Factorization of 62978

Prime factors of 62978 are 2, 31489. Prime factorization of 62978 in exponential form is:

62978 = 2¹ × 31489¹

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 62978

List of positive integer factors of 62978 that divides 62978 without a remainder.

1, 2, 31489

Step-4: Factors of 62994

List of positive integer factors of 62994 that divides 62978 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62978 and 62994. The biggest common factor number is the GCF number.
So the greatest common factor 62978 and 62994 is 2.

Also check out the Least Common Multiple of 62978 and 62994