What is the Greatest Common Factor of 65772 and 65792?

Greatest common factor (GCF) of 65772 and 65792 is 4.

GCF(65772,65792) = 4

We will now calculate the prime factors of 65772 and 65792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65772 and 65792.

How to find the GCF of 65772 and 65792?

We will first find the prime factorization of 65772 and 65792. After we will calculate the factors of 65772 and 65792 and find the biggest common factor number .

Step-1: Prime Factorization of 65772

Prime factors of 65772 are 2, 3, 7, 29. Prime factorization of 65772 in exponential form is:

65772 = 2² × 3⁴ × 7¹ × 29¹

Step-2: Prime Factorization of 65792

Prime factors of 65792 are 2, 257. Prime factorization of 65792 in exponential form is:

65792 = 2⁸ × 257¹

Step-3: Factors of 65772

List of positive integer factors of 65772 that divides 65772 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 29, 36, 42, 54, 58, 63, 81, 84, 87, 108, 116, 126, 162, 174, 189, 203, 252, 261, 324, 348, 378, 406, 522, 567, 609, 756, 783, 812, 1044, 1134, 1218, 1566, 1827, 2268, 2349, 2436, 3132, 3654, 4698, 5481, 7308, 9396, 10962, 16443, 21924, 32886

Step-4: Factors of 65792

List of positive integer factors of 65792 that divides 65772 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 257, 514, 1028, 2056, 4112, 8224, 16448, 32896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65772 and 65792. The biggest common factor number is the GCF number.
So the greatest common factor 65772 and 65792 is 4.

Also check out the Least Common Multiple of 65772 and 65792