What is the Greatest Common Factor of 84749 and 84766?

Greatest common factor (GCF) of 84749 and 84766 is 1.

GCF(84749,84766) = 1

We will now calculate the prime factors of 84749 and 84766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84749 and 84766.

How to find the GCF of 84749 and 84766?

We will first find the prime factorization of 84749 and 84766. After we will calculate the factors of 84749 and 84766 and find the biggest common factor number .

Step-1: Prime Factorization of 84749

Prime factors of 84749 are 7, 12107. Prime factorization of 84749 in exponential form is:

84749 = 7¹ × 12107¹

Step-2: Prime Factorization of 84766

Prime factors of 84766 are 2, 11, 3853. Prime factorization of 84766 in exponential form is:

84766 = 2¹ × 11¹ × 3853¹

Step-3: Factors of 84749

List of positive integer factors of 84749 that divides 84749 without a remainder.

1, 7, 12107

Step-4: Factors of 84766

List of positive integer factors of 84766 that divides 84749 without a remainder.

1, 2, 11, 22, 3853, 7706, 42383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84749 and 84766. The biggest common factor number is the GCF number.
So the greatest common factor 84749 and 84766 is 1.

Also check out the Least Common Multiple of 84749 and 84766