What is the Greatest Common Factor of 65345 and 65352?

Greatest common factor (GCF) of 65345 and 65352 is 7.

GCF(65345,65352) = 7

We will now calculate the prime factors of 65345 and 65352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65345 and 65352.

How to find the GCF of 65345 and 65352?

We will first find the prime factorization of 65345 and 65352. After we will calculate the factors of 65345 and 65352 and find the biggest common factor number .

Step-1: Prime Factorization of 65345

Prime factors of 65345 are 5, 7, 1867. Prime factorization of 65345 in exponential form is:

65345 = 5¹ × 7¹ × 1867¹

Step-2: 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-3: Factors of 65345

List of positive integer factors of 65345 that divides 65345 without a remainder.

1, 5, 7, 35, 1867, 9335, 13069

Step-4: Factors of 65352

List of positive integer factors of 65352 that divides 65345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65345 and 65352. The biggest common factor number is the GCF number.
So the greatest common factor 65345 and 65352 is 7.

Also check out the Least Common Multiple of 65345 and 65352