What is the Greatest Common Factor of 84757 and 84768?

Greatest common factor (GCF) of 84757 and 84768 is 1.

GCF(84757,84768) = 1

We will now calculate the prime factors of 84757 and 84768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84757 and 84768.

How to find the GCF of 84757 and 84768?

We will first find the prime factorization of 84757 and 84768. After we will calculate the factors of 84757 and 84768 and find the biggest common factor number .

Step-1: Prime Factorization of 84757

Prime factors of 84757 are 131, 647. Prime factorization of 84757 in exponential form is:

84757 = 131¹ × 647¹

Step-2: Prime Factorization of 84768

Prime factors of 84768 are 2, 3, 883. Prime factorization of 84768 in exponential form is:

84768 = 2⁵ × 3¹ × 883¹

Step-3: Factors of 84757

List of positive integer factors of 84757 that divides 84757 without a remainder.

1, 131, 647

Step-4: Factors of 84768

List of positive integer factors of 84768 that divides 84757 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 883, 1766, 2649, 3532, 5298, 7064, 10596, 14128, 21192, 28256, 42384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84757 and 84768. The biggest common factor number is the GCF number.
So the greatest common factor 84757 and 84768 is 1.

Also check out the Least Common Multiple of 84757 and 84768