What is the Greatest Common Factor of 64038 and 64058?

Greatest common factor (GCF) of 64038 and 64058 is 2.

GCF(64038,64058) = 2

We will now calculate the prime factors of 64038 and 64058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64038 and 64058.

How to find the GCF of 64038 and 64058?

We will first find the prime factorization of 64038 and 64058. After we will calculate the factors of 64038 and 64058 and find the biggest common factor number .

Step-1: Prime Factorization of 64038

Prime factors of 64038 are 2, 3, 13, 821. Prime factorization of 64038 in exponential form is:

64038 = 2¹ × 3¹ × 13¹ × 821¹

Step-2: Prime Factorization of 64058

Prime factors of 64058 are 2, 32029. Prime factorization of 64058 in exponential form is:

64058 = 2¹ × 32029¹

Step-3: Factors of 64038

List of positive integer factors of 64038 that divides 64038 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 821, 1642, 2463, 4926, 10673, 21346, 32019

Step-4: Factors of 64058

List of positive integer factors of 64058 that divides 64038 without a remainder.

1, 2, 32029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64038 and 64058. The biggest common factor number is the GCF number.
So the greatest common factor 64038 and 64058 is 2.

Also check out the Least Common Multiple of 64038 and 64058