What is the Greatest Common Factor of 65058 and 65067?

Greatest common factor (GCF) of 65058 and 65067 is 3.

GCF(65058,65067) = 3

We will now calculate the prime factors of 65058 and 65067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65058 and 65067.

How to find the GCF of 65058 and 65067?

We will first find the prime factorization of 65058 and 65067. After we will calculate the factors of 65058 and 65067 and find the biggest common factor number .

Step-1: Prime Factorization of 65058

Prime factors of 65058 are 2, 3, 7, 1549. Prime factorization of 65058 in exponential form is:

65058 = 2¹ × 3¹ × 7¹ × 1549¹

Step-2: Prime Factorization of 65067

Prime factors of 65067 are 3, 23, 41. Prime factorization of 65067 in exponential form is:

65067 = 3¹ × 23² × 41¹

Step-3: Factors of 65058

List of positive integer factors of 65058 that divides 65058 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1549, 3098, 4647, 9294, 10843, 21686, 32529

Step-4: Factors of 65067

List of positive integer factors of 65067 that divides 65058 without a remainder.

1, 3, 23, 41, 69, 123, 529, 943, 1587, 2829, 21689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65058 and 65067. The biggest common factor number is the GCF number.
So the greatest common factor 65058 and 65067 is 3.

Also check out the Least Common Multiple of 65058 and 65067