What is the Greatest Common Factor of 65058 and 65072?

Greatest common factor (GCF) of 65058 and 65072 is 14.

GCF(65058,65072) = 14

We will now calculate the prime factors of 65058 and 65072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65058 and 65072.

How to find the GCF of 65058 and 65072?

We will first find the prime factorization of 65058 and 65072. After we will calculate the factors of 65058 and 65072 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 65072

Prime factors of 65072 are 2, 7, 83. Prime factorization of 65072 in exponential form is:

65072 = 2⁴ × 7² × 83¹

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 65072

List of positive integer factors of 65072 that divides 65058 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 83, 98, 112, 166, 196, 332, 392, 581, 664, 784, 1162, 1328, 2324, 4067, 4648, 8134, 9296, 16268, 32536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65058 and 65072. The biggest common factor number is the GCF number.
So the greatest common factor 65058 and 65072 is 14.

Also check out the Least Common Multiple of 65058 and 65072