What is the Greatest Common Factor of 65130 and 65136?

Greatest common factor (GCF) of 65130 and 65136 is 6.

GCF(65130,65136) = 6

We will now calculate the prime factors of 65130 and 65136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65130 and 65136.

How to find the GCF of 65130 and 65136?

We will first find the prime factorization of 65130 and 65136. After we will calculate the factors of 65130 and 65136 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 65136

Prime factors of 65136 are 2, 3, 23, 59. Prime factorization of 65136 in exponential form is:

65136 = 2⁴ × 3¹ × 23¹ × 59¹

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 65136

List of positive integer factors of 65136 that divides 65130 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 59, 69, 92, 118, 138, 177, 184, 236, 276, 354, 368, 472, 552, 708, 944, 1104, 1357, 1416, 2714, 2832, 4071, 5428, 8142, 10856, 16284, 21712, 32568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65130 and 65136. The biggest common factor number is the GCF number.
So the greatest common factor 65130 and 65136 is 6.

Also check out the Least Common Multiple of 65130 and 65136