What is the Greatest Common Factor of 84790 and 84810?

Greatest common factor (GCF) of 84790 and 84810 is 10.

GCF(84790,84810) = 10

We will now calculate the prime factors of 84790 and 84810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84790 and 84810.

How to find the GCF of 84790 and 84810?

We will first find the prime factorization of 84790 and 84810. After we will calculate the factors of 84790 and 84810 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84810

Prime factors of 84810 are 2, 3, 5, 11, 257. Prime factorization of 84810 in exponential form is:

84810 = 2¹ × 3¹ × 5¹ × 11¹ × 257¹

Step-3: Factors of 84790

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

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

Step-4: Factors of 84810

List of positive integer factors of 84810 that divides 84790 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 257, 330, 514, 771, 1285, 1542, 2570, 2827, 3855, 5654, 7710, 8481, 14135, 16962, 28270, 42405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84790 and 84810. The biggest common factor number is the GCF number.
So the greatest common factor 84790 and 84810 is 10.

Also check out the Least Common Multiple of 84790 and 84810