What is the Greatest Common Factor of 65130 and 65135?

Greatest common factor (GCF) of 65130 and 65135 is 5.

GCF(65130,65135) = 5

We will now calculate the prime factors of 65130 and 65135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65130 and 65135.

How to find the GCF of 65130 and 65135?

We will first find the prime factorization of 65130 and 65135. After we will calculate the factors of 65130 and 65135 and find the biggest common factor number .

Step-1: Prime Factorization of 65130

Prime factors of 65130 are 2, 3, 5, 13, 167. Prime factorization of 65130 in exponential form is:

65130 = 2¹ × 3¹ × 5¹ × 13¹ × 167¹

Step-2: Prime Factorization of 65135

Prime factors of 65135 are 5, 7, 1861. Prime factorization of 65135 in exponential form is:

65135 = 5¹ × 7¹ × 1861¹

Step-3: Factors of 65130

List of positive integer factors of 65130 that divides 65130 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 167, 195, 334, 390, 501, 835, 1002, 1670, 2171, 2505, 4342, 5010, 6513, 10855, 13026, 21710, 32565

Step-4: Factors of 65135

List of positive integer factors of 65135 that divides 65130 without a remainder.

1, 5, 7, 35, 1861, 9305, 13027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65130 and 65135. The biggest common factor number is the GCF number.
So the greatest common factor 65130 and 65135 is 5.

Also check out the Least Common Multiple of 65130 and 65135