What is the Greatest Common Factor of 65058 and 65074?

Greatest common factor (GCF) of 65058 and 65074 is 2.

GCF(65058,65074) = 2

We will now calculate the prime factors of 65058 and 65074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65058 and 65074.

How to find the GCF of 65058 and 65074?

We will first find the prime factorization of 65058 and 65074. After we will calculate the factors of 65058 and 65074 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 65074

Prime factors of 65074 are 2, 32537. Prime factorization of 65074 in exponential form is:

65074 = 2¹ × 32537¹

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 65074

List of positive integer factors of 65074 that divides 65058 without a remainder.

1, 2, 32537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65058 and 65074. The biggest common factor number is the GCF number.
So the greatest common factor 65058 and 65074 is 2.

Also check out the Least Common Multiple of 65058 and 65074