What is the Greatest Common Factor of 45760 and 45771?

Greatest common factor (GCF) of 45760 and 45771 is 11.

GCF(45760,45771) = 11

We will now calculate the prime factors of 45760 and 45771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45760 and 45771.

How to find the GCF of 45760 and 45771?

We will first find the prime factorization of 45760 and 45771. After we will calculate the factors of 45760 and 45771 and find the biggest common factor number .

Step-1: Prime Factorization of 45760

Prime factors of 45760 are 2, 5, 11, 13. Prime factorization of 45760 in exponential form is:

45760 = 2⁶ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 45771

Prime factors of 45771 are 3, 11, 19, 73. Prime factorization of 45771 in exponential form is:

45771 = 3¹ × 11¹ × 19¹ × 73¹

Step-3: Factors of 45760

List of positive integer factors of 45760 that divides 45760 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 32, 40, 44, 52, 55, 64, 65, 80, 88, 104, 110, 130, 143, 160, 176, 208, 220, 260, 286, 320, 352, 416, 440, 520, 572, 704, 715, 832, 880, 1040, 1144, 1430, 1760, 2080, 2288, 2860, 3520, 4160, 4576, 5720, 9152, 11440, 22880

Step-4: Factors of 45771

List of positive integer factors of 45771 that divides 45760 without a remainder.

1, 3, 11, 19, 33, 57, 73, 209, 219, 627, 803, 1387, 2409, 4161, 15257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45760 and 45771. The biggest common factor number is the GCF number.
So the greatest common factor 45760 and 45771 is 11.

Also check out the Least Common Multiple of 45760 and 45771