What is the Greatest Common Factor of 84770 and 84784?

Greatest common factor (GCF) of 84770 and 84784 is 14.

GCF(84770,84784) = 14

We will now calculate the prime factors of 84770 and 84784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84770 and 84784.

How to find the GCF of 84770 and 84784?

We will first find the prime factorization of 84770 and 84784. After we will calculate the factors of 84770 and 84784 and find the biggest common factor number .

Step-1: Prime Factorization of 84770

Prime factors of 84770 are 2, 5, 7, 173. Prime factorization of 84770 in exponential form is:

84770 = 2¹ × 5¹ × 7² × 173¹

Step-2: 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-3: Factors of 84770

List of positive integer factors of 84770 that divides 84770 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 173, 245, 346, 490, 865, 1211, 1730, 2422, 6055, 8477, 12110, 16954, 42385

Step-4: Factors of 84784

List of positive integer factors of 84784 that divides 84770 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84770 and 84784. The biggest common factor number is the GCF number.
So the greatest common factor 84770 and 84784 is 14.

Also check out the Least Common Multiple of 84770 and 84784