What is the Greatest Common Factor of 84683 and 84702?

Greatest common factor (GCF) of 84683 and 84702 is 19.

GCF(84683,84702) = 19

We will now calculate the prime factors of 84683 and 84702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84683 and 84702.

How to find the GCF of 84683 and 84702?

We will first find the prime factorization of 84683 and 84702. After we will calculate the factors of 84683 and 84702 and find the biggest common factor number .

Step-1: Prime Factorization of 84683

Prime factors of 84683 are 19, 4457. Prime factorization of 84683 in exponential form is:

84683 = 19¹ × 4457¹

Step-2: 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-3: Factors of 84683

List of positive integer factors of 84683 that divides 84683 without a remainder.

1, 19, 4457

Step-4: Factors of 84702

List of positive integer factors of 84702 that divides 84683 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84683 and 84702. The biggest common factor number is the GCF number.
So the greatest common factor 84683 and 84702 is 19.

Also check out the Least Common Multiple of 84683 and 84702