What is the Greatest Common Factor of 65471 and 65484?

Greatest common factor (GCF) of 65471 and 65484 is 1.

GCF(65471,65484) = 1

We will now calculate the prime factors of 65471 and 65484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65471 and 65484.

How to find the GCF of 65471 and 65484?

We will first find the prime factorization of 65471 and 65484. After we will calculate the factors of 65471 and 65484 and find the biggest common factor number .

Step-1: Prime Factorization of 65471

Prime factors of 65471 are 7, 47, 199. Prime factorization of 65471 in exponential form is:

65471 = 7¹ × 47¹ × 199¹

Step-2: Prime Factorization of 65484

Prime factors of 65484 are 2, 3, 17, 107. Prime factorization of 65484 in exponential form is:

65484 = 2² × 3² × 17¹ × 107¹

Step-3: Factors of 65471

List of positive integer factors of 65471 that divides 65471 without a remainder.

1, 7, 47, 199, 329, 1393, 9353

Step-4: Factors of 65484

List of positive integer factors of 65484 that divides 65471 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 107, 153, 204, 214, 306, 321, 428, 612, 642, 963, 1284, 1819, 1926, 3638, 3852, 5457, 7276, 10914, 16371, 21828, 32742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65471 and 65484. The biggest common factor number is the GCF number.
So the greatest common factor 65471 and 65484 is 1.

Also check out the Least Common Multiple of 65471 and 65484