What is the Greatest Common Factor of 65716 and 65730?

Greatest common factor (GCF) of 65716 and 65730 is 14.

GCF(65716,65730) = 14

We will now calculate the prime factors of 65716 and 65730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65716 and 65730.

How to find the GCF of 65716 and 65730?

We will first find the prime factorization of 65716 and 65730. After we will calculate the factors of 65716 and 65730 and find the biggest common factor number .

Step-1: Prime Factorization of 65716

Prime factors of 65716 are 2, 7, 2347. Prime factorization of 65716 in exponential form is:

65716 = 2² × 7¹ × 2347¹

Step-2: Prime Factorization of 65730

Prime factors of 65730 are 2, 3, 5, 7, 313. Prime factorization of 65730 in exponential form is:

65730 = 2¹ × 3¹ × 5¹ × 7¹ × 313¹

Step-3: Factors of 65716

List of positive integer factors of 65716 that divides 65716 without a remainder.

1, 2, 4, 7, 14, 28, 2347, 4694, 9388, 16429, 32858

Step-4: Factors of 65730

List of positive integer factors of 65730 that divides 65716 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 313, 626, 939, 1565, 1878, 2191, 3130, 4382, 4695, 6573, 9390, 10955, 13146, 21910, 32865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65716 and 65730. The biggest common factor number is the GCF number.
So the greatest common factor 65716 and 65730 is 14.

Also check out the Least Common Multiple of 65716 and 65730