What is the Greatest Common Factor of 63058 and 63068?

Greatest common factor (GCF) of 63058 and 63068 is 2.

GCF(63058,63068) = 2

We will now calculate the prime factors of 63058 and 63068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63058 and 63068.

How to find the GCF of 63058 and 63068?

We will first find the prime factorization of 63058 and 63068. After we will calculate the factors of 63058 and 63068 and find the biggest common factor number .

Step-1: Prime Factorization of 63058

Prime factors of 63058 are 2, 41, 769. Prime factorization of 63058 in exponential form is:

63058 = 2¹ × 41¹ × 769¹

Step-2: Prime Factorization of 63068

Prime factors of 63068 are 2, 15767. Prime factorization of 63068 in exponential form is:

63068 = 2² × 15767¹

Step-3: Factors of 63058

List of positive integer factors of 63058 that divides 63058 without a remainder.

1, 2, 41, 82, 769, 1538, 31529

Step-4: Factors of 63068

List of positive integer factors of 63068 that divides 63058 without a remainder.

1, 2, 4, 15767, 31534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63058 and 63068. The biggest common factor number is the GCF number.
So the greatest common factor 63058 and 63068 is 2.

Also check out the Least Common Multiple of 63058 and 63068