What is the Greatest Common Factor of 65772 and 65790?

Greatest common factor (GCF) of 65772 and 65790 is 18.

GCF(65772,65790) = 18

We will now calculate the prime factors of 65772 and 65790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65772 and 65790.

How to find the GCF of 65772 and 65790?

We will first find the prime factorization of 65772 and 65790. After we will calculate the factors of 65772 and 65790 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 65790

Prime factors of 65790 are 2, 3, 5, 17, 43. Prime factorization of 65790 in exponential form is:

65790 = 2¹ × 3² × 5¹ × 17¹ × 43¹

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 65790

List of positive integer factors of 65790 that divides 65772 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 43, 45, 51, 85, 86, 90, 102, 129, 153, 170, 215, 255, 258, 306, 387, 430, 510, 645, 731, 765, 774, 1290, 1462, 1530, 1935, 2193, 3655, 3870, 4386, 6579, 7310, 10965, 13158, 21930, 32895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65772 and 65790. The biggest common factor number is the GCF number.
So the greatest common factor 65772 and 65790 is 18.

Also check out the Least Common Multiple of 65772 and 65790