What is the Greatest Common Factor of 64372 and 64384?

Greatest common factor (GCF) of 64372 and 64384 is 4.

GCF(64372,64384) = 4

We will now calculate the prime factors of 64372 and 64384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64372 and 64384.

How to find the GCF of 64372 and 64384?

We will first find the prime factorization of 64372 and 64384. After we will calculate the factors of 64372 and 64384 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64384

Prime factors of 64384 are 2, 503. Prime factorization of 64384 in exponential form is:

64384 = 2⁷ × 503¹

Step-3: Factors of 64372

List of positive integer factors of 64372 that divides 64372 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

Step-4: Factors of 64384

List of positive integer factors of 64384 that divides 64372 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 503, 1006, 2012, 4024, 8048, 16096, 32192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64372 and 64384. The biggest common factor number is the GCF number.
So the greatest common factor 64372 and 64384 is 4.

Also check out the Least Common Multiple of 64372 and 64384