What is the Greatest Common Factor of 65455 and 65474?

Greatest common factor (GCF) of 65455 and 65474 is 19.

GCF(65455,65474) = 19

We will now calculate the prime factors of 65455 and 65474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65455 and 65474.

How to find the GCF of 65455 and 65474?

We will first find the prime factorization of 65455 and 65474. After we will calculate the factors of 65455 and 65474 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 65474

Prime factors of 65474 are 2, 19, 1723. Prime factorization of 65474 in exponential form is:

65474 = 2¹ × 19¹ × 1723¹

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 65474

List of positive integer factors of 65474 that divides 65455 without a remainder.

1, 2, 19, 38, 1723, 3446, 32737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65455 and 65474. The biggest common factor number is the GCF number.
So the greatest common factor 65455 and 65474 is 19.

Also check out the Least Common Multiple of 65455 and 65474