What is the Greatest Common Factor of 84786 and 84790?

Greatest common factor (GCF) of 84786 and 84790 is 2.

GCF(84786,84790) = 2

We will now calculate the prime factors of 84786 and 84790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84786 and 84790.

How to find the GCF of 84786 and 84790?

We will first find the prime factorization of 84786 and 84790. After we will calculate the factors of 84786 and 84790 and find the biggest common factor number .

Step-1: Prime Factorization of 84786

Prime factors of 84786 are 2, 3, 13, 1087. Prime factorization of 84786 in exponential form is:

84786 = 2¹ × 3¹ × 13¹ × 1087¹

Step-2: Prime Factorization of 84790

Prime factors of 84790 are 2, 5, 61, 139. Prime factorization of 84790 in exponential form is:

84790 = 2¹ × 5¹ × 61¹ × 139¹

Step-3: Factors of 84786

List of positive integer factors of 84786 that divides 84786 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1087, 2174, 3261, 6522, 14131, 28262, 42393

Step-4: Factors of 84790

List of positive integer factors of 84790 that divides 84786 without a remainder.

1, 2, 5, 10, 61, 122, 139, 278, 305, 610, 695, 1390, 8479, 16958, 42395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84786 and 84790. The biggest common factor number is the GCF number.
So the greatest common factor 84786 and 84790 is 2.

Also check out the Least Common Multiple of 84786 and 84790