What is the Greatest Common Factor of 65455 and 65468?

Greatest common factor (GCF) of 65455 and 65468 is 13.

GCF(65455,65468) = 13

We will now calculate the prime factors of 65455 and 65468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65455 and 65468.

How to find the GCF of 65455 and 65468?

We will first find the prime factorization of 65455 and 65468. After we will calculate the factors of 65455 and 65468 and find the biggest common factor number .

Step-1: Prime Factorization of 65455

Prime factors of 65455 are 5, 13, 19, 53. Prime factorization of 65455 in exponential form is:

65455 = 5¹ × 13¹ × 19¹ × 53¹

Step-2: Prime Factorization of 65468

Prime factors of 65468 are 2, 13, 1259. Prime factorization of 65468 in exponential form is:

65468 = 2² × 13¹ × 1259¹

Step-3: Factors of 65455

List of positive integer factors of 65455 that divides 65455 without a remainder.

1, 5, 13, 19, 53, 65, 95, 247, 265, 689, 1007, 1235, 3445, 5035, 13091

Step-4: Factors of 65468

List of positive integer factors of 65468 that divides 65455 without a remainder.

1, 2, 4, 13, 26, 52, 1259, 2518, 5036, 16367, 32734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65455 and 65468. The biggest common factor number is the GCF number.
So the greatest common factor 65455 and 65468 is 13.

Also check out the Least Common Multiple of 65455 and 65468