What is the Greatest Common Factor of 84784 and 84798?

Greatest common factor (GCF) of 84784 and 84798 is 14.

GCF(84784,84798) = 14

We will now calculate the prime factors of 84784 and 84798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84784 and 84798.

How to find the GCF of 84784 and 84798?

We will first find the prime factorization of 84784 and 84798. After we will calculate the factors of 84784 and 84798 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 84798

Prime factors of 84798 are 2, 3, 7, 673. Prime factorization of 84798 in exponential form is:

84798 = 2¹ × 3² × 7¹ × 673¹

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 84798

List of positive integer factors of 84798 that divides 84784 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 673, 1346, 2019, 4038, 4711, 6057, 9422, 12114, 14133, 28266, 42399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84784 and 84798. The biggest common factor number is the GCF number.
So the greatest common factor 84784 and 84798 is 14.

Also check out the Least Common Multiple of 84784 and 84798