What is the Greatest Common Factor of 65494 and 65507?

Greatest common factor (GCF) of 65494 and 65507 is 13.

GCF(65494,65507) = 13

We will now calculate the prime factors of 65494 and 65507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65494 and 65507.

How to find the GCF of 65494 and 65507?

We will first find the prime factorization of 65494 and 65507. After we will calculate the factors of 65494 and 65507 and find the biggest common factor number .

Step-1: Prime Factorization of 65494

Prime factors of 65494 are 2, 11, 13, 229. Prime factorization of 65494 in exponential form is:

65494 = 2¹ × 11¹ × 13¹ × 229¹

Step-2: Prime Factorization of 65507

Prime factors of 65507 are 13, 5039. Prime factorization of 65507 in exponential form is:

65507 = 13¹ × 5039¹

Step-3: Factors of 65494

List of positive integer factors of 65494 that divides 65494 without a remainder.

1, 2, 11, 13, 22, 26, 143, 229, 286, 458, 2519, 2977, 5038, 5954, 32747

Step-4: Factors of 65507

List of positive integer factors of 65507 that divides 65494 without a remainder.

1, 13, 5039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65494 and 65507. The biggest common factor number is the GCF number.
So the greatest common factor 65494 and 65507 is 13.

Also check out the Least Common Multiple of 65494 and 65507