What is the Greatest Common Factor of 65130 and 65150?

Greatest common factor (GCF) of 65130 and 65150 is 10.

GCF(65130,65150) = 10

We will now calculate the prime factors of 65130 and 65150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65130 and 65150.

How to find the GCF of 65130 and 65150?

We will first find the prime factorization of 65130 and 65150. After we will calculate the factors of 65130 and 65150 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 65150

Prime factors of 65150 are 2, 5, 1303. Prime factorization of 65150 in exponential form is:

65150 = 2¹ × 5² × 1303¹

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 65150

List of positive integer factors of 65150 that divides 65130 without a remainder.

1, 2, 5, 10, 25, 50, 1303, 2606, 6515, 13030, 32575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65130 and 65150. The biggest common factor number is the GCF number.
So the greatest common factor 65130 and 65150 is 10.

Also check out the Least Common Multiple of 65130 and 65150