What is the Greatest Common Factor of 45765 and 45784?

Greatest common factor (GCF) of 45765 and 45784 is 1.

GCF(45765,45784) = 1

We will now calculate the prime factors of 45765 and 45784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45765 and 45784.

How to find the GCF of 45765 and 45784?

We will first find the prime factorization of 45765 and 45784. After we will calculate the factors of 45765 and 45784 and find the biggest common factor number .

Step-1: Prime Factorization of 45765

Prime factors of 45765 are 3, 5, 113. Prime factorization of 45765 in exponential form is:

45765 = 3⁴ × 5¹ × 113¹

Step-2: Prime Factorization of 45784

Prime factors of 45784 are 2, 59, 97. Prime factorization of 45784 in exponential form is:

45784 = 2³ × 59¹ × 97¹

Step-3: Factors of 45765

List of positive integer factors of 45765 that divides 45765 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 113, 135, 339, 405, 565, 1017, 1695, 3051, 5085, 9153, 15255

Step-4: Factors of 45784

List of positive integer factors of 45784 that divides 45765 without a remainder.

1, 2, 4, 8, 59, 97, 118, 194, 236, 388, 472, 776, 5723, 11446, 22892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45765 and 45784. The biggest common factor number is the GCF number.
So the greatest common factor 45765 and 45784 is 1.

Also check out the Least Common Multiple of 45765 and 45784