What is the Greatest Common Factor of 84702 and 84706?

Greatest common factor (GCF) of 84702 and 84706 is 2.

GCF(84702,84706) = 2

We will now calculate the prime factors of 84702 and 84706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84702 and 84706.

How to find the GCF of 84702 and 84706?

We will first find the prime factorization of 84702 and 84706. After we will calculate the factors of 84702 and 84706 and find the biggest common factor number .

Step-1: Prime Factorization of 84702

Prime factors of 84702 are 2, 3, 19, 743. Prime factorization of 84702 in exponential form is:

84702 = 2¹ × 3¹ × 19¹ × 743¹

Step-2: Prime Factorization of 84706

Prime factors of 84706 are 2, 41, 1033. Prime factorization of 84706 in exponential form is:

84706 = 2¹ × 41¹ × 1033¹

Step-3: Factors of 84702

List of positive integer factors of 84702 that divides 84702 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 743, 1486, 2229, 4458, 14117, 28234, 42351

Step-4: Factors of 84706

List of positive integer factors of 84706 that divides 84702 without a remainder.

1, 2, 41, 82, 1033, 2066, 42353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84702 and 84706. The biggest common factor number is the GCF number.
So the greatest common factor 84702 and 84706 is 2.

Also check out the Least Common Multiple of 84702 and 84706