What is the Greatest Common Factor of 45760 and 45776?

Greatest common factor (GCF) of 45760 and 45776 is 16.

GCF(45760,45776) = 16

We will now calculate the prime factors of 45760 and 45776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45760 and 45776.

How to find the GCF of 45760 and 45776?

We will first find the prime factorization of 45760 and 45776. After we will calculate the factors of 45760 and 45776 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 45776

Prime factors of 45776 are 2, 2861. Prime factorization of 45776 in exponential form is:

45776 = 2⁴ × 2861¹

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 45776

List of positive integer factors of 45776 that divides 45760 without a remainder.

1, 2, 4, 8, 16, 2861, 5722, 11444, 22888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45760 and 45776. The biggest common factor number is the GCF number.
So the greatest common factor 45760 and 45776 is 16.

Also check out the Least Common Multiple of 45760 and 45776