What is the Greatest Common Factor of 65772 and 65786?

Greatest common factor (GCF) of 65772 and 65786 is 14.

GCF(65772,65786) = 14

We will now calculate the prime factors of 65772 and 65786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65772 and 65786.

How to find the GCF of 65772 and 65786?

We will first find the prime factorization of 65772 and 65786. After we will calculate the factors of 65772 and 65786 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 65786

Prime factors of 65786 are 2, 7, 37, 127. Prime factorization of 65786 in exponential form is:

65786 = 2¹ × 7¹ × 37¹ × 127¹

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 65786

List of positive integer factors of 65786 that divides 65772 without a remainder.

1, 2, 7, 14, 37, 74, 127, 254, 259, 518, 889, 1778, 4699, 9398, 32893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65772 and 65786. The biggest common factor number is the GCF number.
So the greatest common factor 65772 and 65786 is 14.

Also check out the Least Common Multiple of 65772 and 65786