What is the Greatest Common Factor of 84784 and 84794?

Greatest common factor (GCF) of 84784 and 84794 is 2.

GCF(84784,84794) = 2

We will now calculate the prime factors of 84784 and 84794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84784 and 84794.

How to find the GCF of 84784 and 84794?

We will first find the prime factorization of 84784 and 84794. After we will calculate the factors of 84784 and 84794 and find the biggest common factor number .

Step-1: Prime Factorization of 84784

Prime factors of 84784 are 2, 7, 757. Prime factorization of 84784 in exponential form is:

84784 = 2⁴ × 7¹ × 757¹

Step-2: Prime Factorization of 84794

Prime factors of 84794 are 2, 42397. Prime factorization of 84794 in exponential form is:

84794 = 2¹ × 42397¹

Step-3: Factors of 84784

List of positive integer factors of 84784 that divides 84784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 757, 1514, 3028, 5299, 6056, 10598, 12112, 21196, 42392

Step-4: Factors of 84794

List of positive integer factors of 84794 that divides 84784 without a remainder.

1, 2, 42397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84784 and 84794. The biggest common factor number is the GCF number.
So the greatest common factor 84784 and 84794 is 2.

Also check out the Least Common Multiple of 84784 and 84794