What is the Greatest Common Factor of 62984 and 62992?

Greatest common factor (GCF) of 62984 and 62992 is 8.

GCF(62984,62992) = 8

We will now calculate the prime factors of 62984 and 62992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62984 and 62992.

How to find the GCF of 62984 and 62992?

We will first find the prime factorization of 62984 and 62992. After we will calculate the factors of 62984 and 62992 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 62992

Prime factors of 62992 are 2, 31, 127. Prime factorization of 62992 in exponential form is:

62992 = 2⁴ × 31¹ × 127¹

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 62992

List of positive integer factors of 62992 that divides 62984 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 127, 248, 254, 496, 508, 1016, 2032, 3937, 7874, 15748, 31496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62984 and 62992. The biggest common factor number is the GCF number.
So the greatest common factor 62984 and 62992 is 8.

Also check out the Least Common Multiple of 62984 and 62992