What is the Greatest Common Factor of 65492 and 65506?

Greatest common factor (GCF) of 65492 and 65506 is 14.

GCF(65492,65506) = 14

We will now calculate the prime factors of 65492 and 65506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65492 and 65506.

How to find the GCF of 65492 and 65506?

We will first find the prime factorization of 65492 and 65506. After we will calculate the factors of 65492 and 65506 and find the biggest common factor number .

Step-1: Prime Factorization of 65492

Prime factors of 65492 are 2, 7, 2339. Prime factorization of 65492 in exponential form is:

65492 = 2² × 7¹ × 2339¹

Step-2: Prime Factorization of 65506

Prime factors of 65506 are 2, 7, 4679. Prime factorization of 65506 in exponential form is:

65506 = 2¹ × 7¹ × 4679¹

Step-3: Factors of 65492

List of positive integer factors of 65492 that divides 65492 without a remainder.

1, 2, 4, 7, 14, 28, 2339, 4678, 9356, 16373, 32746

Step-4: Factors of 65506

List of positive integer factors of 65506 that divides 65492 without a remainder.

1, 2, 7, 14, 4679, 9358, 32753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65492 and 65506. The biggest common factor number is the GCF number.
So the greatest common factor 65492 and 65506 is 14.

Also check out the Least Common Multiple of 65492 and 65506