What is the Greatest Common Factor of 62038 and 62058?

Greatest common factor (GCF) of 62038 and 62058 is 2.

GCF(62038,62058) = 2

We will now calculate the prime factors of 62038 and 62058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62038 and 62058.

How to find the GCF of 62038 and 62058?

We will first find the prime factorization of 62038 and 62058. After we will calculate the factors of 62038 and 62058 and find the biggest common factor number .

Step-1: Prime Factorization of 62038

Prime factors of 62038 are 2, 31019. Prime factorization of 62038 in exponential form is:

62038 = 2¹ × 31019¹

Step-2: Prime Factorization of 62058

Prime factors of 62058 are 2, 3, 10343. Prime factorization of 62058 in exponential form is:

62058 = 2¹ × 3¹ × 10343¹

Step-3: Factors of 62038

List of positive integer factors of 62038 that divides 62038 without a remainder.

1, 2, 31019

Step-4: Factors of 62058

List of positive integer factors of 62058 that divides 62038 without a remainder.

1, 2, 3, 6, 10343, 20686, 31029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62038 and 62058. The biggest common factor number is the GCF number.
So the greatest common factor 62038 and 62058 is 2.

Also check out the Least Common Multiple of 62038 and 62058