What is the Greatest Common Factor of 45760 and 45770?

Greatest common factor (GCF) of 45760 and 45770 is 10.

GCF(45760,45770) = 10

We will now calculate the prime factors of 45760 and 45770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45760 and 45770.

How to find the GCF of 45760 and 45770?

We will first find the prime factorization of 45760 and 45770. After we will calculate the factors of 45760 and 45770 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 45770

Prime factors of 45770 are 2, 5, 23, 199. Prime factorization of 45770 in exponential form is:

45770 = 2¹ × 5¹ × 23¹ × 199¹

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 45770

List of positive integer factors of 45770 that divides 45760 without a remainder.

1, 2, 5, 10, 23, 46, 115, 199, 230, 398, 995, 1990, 4577, 9154, 22885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45760 and 45770. The biggest common factor number is the GCF number.
So the greatest common factor 45760 and 45770 is 10.

Also check out the Least Common Multiple of 45760 and 45770