What is the Greatest Common Factor of 75774 and 75783?

Greatest common factor (GCF) of 75774 and 75783 is 3.

GCF(75774,75783) = 3

We will now calculate the prime factors of 75774 and 75783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75774 and 75783.

How to find the GCF of 75774 and 75783?

We will first find the prime factorization of 75774 and 75783. After we will calculate the factors of 75774 and 75783 and find the biggest common factor number .

Step-1: Prime Factorization of 75774

Prime factors of 75774 are 2, 3, 73, 173. Prime factorization of 75774 in exponential form is:

75774 = 2¹ × 3¹ × 73¹ × 173¹

Step-2: Prime Factorization of 75783

Prime factors of 75783 are 3, 25261. Prime factorization of 75783 in exponential form is:

75783 = 3¹ × 25261¹

Step-3: Factors of 75774

List of positive integer factors of 75774 that divides 75774 without a remainder.

1, 2, 3, 6, 73, 146, 173, 219, 346, 438, 519, 1038, 12629, 25258, 37887

Step-4: Factors of 75783

List of positive integer factors of 75783 that divides 75774 without a remainder.

1, 3, 25261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75774 and 75783. The biggest common factor number is the GCF number.
So the greatest common factor 75774 and 75783 is 3.

Also check out the Least Common Multiple of 75774 and 75783