What is the Greatest Common Factor of 62058 and 62067?

Greatest common factor (GCF) of 62058 and 62067 is 3.

GCF(62058,62067) = 3

We will now calculate the prime factors of 62058 and 62067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62058 and 62067.

How to find the GCF of 62058 and 62067?

We will first find the prime factorization of 62058 and 62067. After we will calculate the factors of 62058 and 62067 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62067

Prime factors of 62067 are 3, 17, 1217. Prime factorization of 62067 in exponential form is:

62067 = 3¹ × 17¹ × 1217¹

Step-3: Factors of 62058

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

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

Step-4: Factors of 62067

List of positive integer factors of 62067 that divides 62058 without a remainder.

1, 3, 17, 51, 1217, 3651, 20689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62058 and 62067. The biggest common factor number is the GCF number.
So the greatest common factor 62058 and 62067 is 3.

Also check out the Least Common Multiple of 62058 and 62067