What is the Greatest Common Factor of 65043 and 65058?

Greatest common factor (GCF) of 65043 and 65058 is 3.

GCF(65043,65058) = 3

We will now calculate the prime factors of 65043 and 65058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65043 and 65058.

How to find the GCF of 65043 and 65058?

We will first find the prime factorization of 65043 and 65058. After we will calculate the factors of 65043 and 65058 and find the biggest common factor number .

Step-1: Prime Factorization of 65043

Prime factors of 65043 are 3, 11, 73. Prime factorization of 65043 in exponential form is:

65043 = 3⁴ × 11¹ × 73¹

Step-2: 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-3: Factors of 65043

List of positive integer factors of 65043 that divides 65043 without a remainder.

1, 3, 9, 11, 27, 33, 73, 81, 99, 219, 297, 657, 803, 891, 1971, 2409, 5913, 7227, 21681

Step-4: Factors of 65058

List of positive integer factors of 65058 that divides 65043 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65043 and 65058. The biggest common factor number is the GCF number.
So the greatest common factor 65043 and 65058 is 3.

Also check out the Least Common Multiple of 65043 and 65058