What is the Greatest Common Factor of 64365 and 64372?

Greatest common factor (GCF) of 64365 and 64372 is 7.

GCF(64365,64372) = 7

We will now calculate the prime factors of 64365 and 64372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64365 and 64372.

How to find the GCF of 64365 and 64372?

We will first find the prime factorization of 64365 and 64372. After we will calculate the factors of 64365 and 64372 and find the biggest common factor number .

Step-1: Prime Factorization of 64365

Prime factors of 64365 are 3, 5, 7, 613. Prime factorization of 64365 in exponential form is:

64365 = 3¹ × 5¹ × 7¹ × 613¹

Step-2: Prime Factorization of 64372

Prime factors of 64372 are 2, 7, 11, 19. Prime factorization of 64372 in exponential form is:

64372 = 2² × 7¹ × 11² × 19¹

Step-3: Factors of 64365

List of positive integer factors of 64365 that divides 64365 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 613, 1839, 3065, 4291, 9195, 12873, 21455

Step-4: Factors of 64372

List of positive integer factors of 64372 that divides 64365 without a remainder.

1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 121, 133, 154, 209, 242, 266, 308, 418, 484, 532, 836, 847, 1463, 1694, 2299, 2926, 3388, 4598, 5852, 9196, 16093, 32186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64365 and 64372. The biggest common factor number is the GCF number.
So the greatest common factor 64365 and 64372 is 7.

Also check out the Least Common Multiple of 64365 and 64372