What is the Greatest Common Factor of 45772 and 45784?

Greatest common factor (GCF) of 45772 and 45784 is 4.

GCF(45772,45784) = 4

We will now calculate the prime factors of 45772 and 45784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45772 and 45784.

How to find the GCF of 45772 and 45784?

We will first find the prime factorization of 45772 and 45784. After we will calculate the factors of 45772 and 45784 and find the biggest common factor number .

Step-1: Prime Factorization of 45772

Prime factors of 45772 are 2, 11443. Prime factorization of 45772 in exponential form is:

45772 = 2² × 11443¹

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 45772

List of positive integer factors of 45772 that divides 45772 without a remainder.

1, 2, 4, 11443, 22886

Step-4: Factors of 45784

List of positive integer factors of 45784 that divides 45772 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 45772 and 45784. The biggest common factor number is the GCF number.
So the greatest common factor 45772 and 45784 is 4.

Also check out the Least Common Multiple of 45772 and 45784