What is the Greatest Common Factor of 65471 and 65478?

Greatest common factor (GCF) of 65471 and 65478 is 7.

GCF(65471,65478) = 7

We will now calculate the prime factors of 65471 and 65478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65471 and 65478.

How to find the GCF of 65471 and 65478?

We will first find the prime factorization of 65471 and 65478. After we will calculate the factors of 65471 and 65478 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 65478

Prime factors of 65478 are 2, 3, 7, 1559. Prime factorization of 65478 in exponential form is:

65478 = 2¹ × 3¹ × 7¹ × 1559¹

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 65478

List of positive integer factors of 65478 that divides 65471 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1559, 3118, 4677, 9354, 10913, 21826, 32739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65471 and 65478. The biggest common factor number is the GCF number.
So the greatest common factor 65471 and 65478 is 7.

Also check out the Least Common Multiple of 65471 and 65478