What is the Greatest Common Factor of 45784 and 45790?

Greatest common factor (GCF) of 45784 and 45790 is 2.

GCF(45784,45790) = 2

We will now calculate the prime factors of 45784 and 45790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45784 and 45790.

How to find the GCF of 45784 and 45790?

We will first find the prime factorization of 45784 and 45790. After we will calculate the factors of 45784 and 45790 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45790

Prime factors of 45790 are 2, 5, 19, 241. Prime factorization of 45790 in exponential form is:

45790 = 2¹ × 5¹ × 19¹ × 241¹

Step-3: Factors of 45784

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

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

Step-4: Factors of 45790

List of positive integer factors of 45790 that divides 45784 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 241, 482, 1205, 2410, 4579, 9158, 22895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45784 and 45790. The biggest common factor number is the GCF number.
So the greatest common factor 45784 and 45790 is 2.

Also check out the Least Common Multiple of 45784 and 45790