What is the Greatest Common Factor of 65058 and 65065?

Greatest common factor (GCF) of 65058 and 65065 is 7.

GCF(65058,65065) = 7

We will now calculate the prime factors of 65058 and 65065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65058 and 65065.

How to find the GCF of 65058 and 65065?

We will first find the prime factorization of 65058 and 65065. After we will calculate the factors of 65058 and 65065 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 65065

Prime factors of 65065 are 5, 7, 11, 13. Prime factorization of 65065 in exponential form is:

65065 = 5¹ × 7¹ × 11¹ × 13²

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 65065

List of positive integer factors of 65065 that divides 65058 without a remainder.

1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 169, 385, 455, 715, 845, 1001, 1183, 1859, 5005, 5915, 9295, 13013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65058 and 65065. The biggest common factor number is the GCF number.
So the greatest common factor 65058 and 65065 is 7.

Also check out the Least Common Multiple of 65058 and 65065