What is the Greatest Common Factor of 62978 and 62984?

Greatest common factor (GCF) of 62978 and 62984 is 2.

GCF(62978,62984) = 2

We will now calculate the prime factors of 62978 and 62984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62978 and 62984.

How to find the GCF of 62978 and 62984?

We will first find the prime factorization of 62978 and 62984. After we will calculate the factors of 62978 and 62984 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 62984

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

62984 = 2³ × 7873¹

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 62984

List of positive integer factors of 62984 that divides 62978 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62978 and 62984. The biggest common factor number is the GCF number.
So the greatest common factor 62978 and 62984 is 2.

Also check out the Least Common Multiple of 62978 and 62984