What is the Greatest Common Factor of 84759 and 84774?

Greatest common factor (GCF) of 84759 and 84774 is 3.

GCF(84759,84774) = 3

We will now calculate the prime factors of 84759 and 84774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84759 and 84774.

How to find the GCF of 84759 and 84774?

We will first find the prime factorization of 84759 and 84774. After we will calculate the factors of 84759 and 84774 and find the biggest common factor number .

Step-1: Prime Factorization of 84759

Prime factors of 84759 are 3, 19, 1487. Prime factorization of 84759 in exponential form is:

84759 = 3¹ × 19¹ × 1487¹

Step-2: Prime Factorization of 84774

Prime factors of 84774 are 2, 3, 71, 199. Prime factorization of 84774 in exponential form is:

84774 = 2¹ × 3¹ × 71¹ × 199¹

Step-3: Factors of 84759

List of positive integer factors of 84759 that divides 84759 without a remainder.

1, 3, 19, 57, 1487, 4461, 28253

Step-4: Factors of 84774

List of positive integer factors of 84774 that divides 84759 without a remainder.

1, 2, 3, 6, 71, 142, 199, 213, 398, 426, 597, 1194, 14129, 28258, 42387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84759 and 84774. The biggest common factor number is the GCF number.
So the greatest common factor 84759 and 84774 is 3.

Also check out the Least Common Multiple of 84759 and 84774