What is the Greatest Common Factor of 65352 and 65369?

Greatest common factor (GCF) of 65352 and 65369 is 1.

GCF(65352,65369) = 1

We will now calculate the prime factors of 65352 and 65369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65352 and 65369.

How to find the GCF of 65352 and 65369?

We will first find the prime factorization of 65352 and 65369. After we will calculate the factors of 65352 and 65369 and find the biggest common factor number .

Step-1: Prime Factorization of 65352

Prime factors of 65352 are 2, 3, 7, 389. Prime factorization of 65352 in exponential form is:

65352 = 2³ × 3¹ × 7¹ × 389¹

Step-2: Prime Factorization of 65369

Prime factors of 65369 are 131, 499. Prime factorization of 65369 in exponential form is:

65369 = 131¹ × 499¹

Step-3: Factors of 65352

List of positive integer factors of 65352 that divides 65352 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 389, 778, 1167, 1556, 2334, 2723, 3112, 4668, 5446, 8169, 9336, 10892, 16338, 21784, 32676

Step-4: Factors of 65369

List of positive integer factors of 65369 that divides 65352 without a remainder.

1, 131, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65352 and 65369. The biggest common factor number is the GCF number.
So the greatest common factor 65352 and 65369 is 1.

Also check out the Least Common Multiple of 65352 and 65369