What is the Greatest Common Factor of 65455 and 65465?

Greatest common factor (GCF) of 65455 and 65465 is 5.

GCF(65455,65465) = 5

We will now calculate the prime factors of 65455 and 65465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65455 and 65465.

How to find the GCF of 65455 and 65465?

We will first find the prime factorization of 65455 and 65465. After we will calculate the factors of 65455 and 65465 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 65465

Prime factors of 65465 are 5, 13093. Prime factorization of 65465 in exponential form is:

65465 = 5¹ × 13093¹

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 65465

List of positive integer factors of 65465 that divides 65455 without a remainder.

1, 5, 13093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65455 and 65465. The biggest common factor number is the GCF number.
So the greatest common factor 65455 and 65465 is 5.

Also check out the Least Common Multiple of 65455 and 65465