What is the Greatest Common Factor of 83414 and 83420?

Greatest common factor (GCF) of 83414 and 83420 is 2.

GCF(83414,83420) = 2

We will now calculate the prime factors of 83414 and 83420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83414 and 83420.

How to find the GCF of 83414 and 83420?

We will first find the prime factorization of 83414 and 83420. After we will calculate the factors of 83414 and 83420 and find the biggest common factor number .

Step-1: Prime Factorization of 83414

Prime factors of 83414 are 2, 179, 233. Prime factorization of 83414 in exponential form is:

83414 = 2¹ × 179¹ × 233¹

Step-2: Prime Factorization of 83420

Prime factors of 83420 are 2, 5, 43, 97. Prime factorization of 83420 in exponential form is:

83420 = 2² × 5¹ × 43¹ × 97¹

Step-3: Factors of 83414

List of positive integer factors of 83414 that divides 83414 without a remainder.

1, 2, 179, 233, 358, 466, 41707

Step-4: Factors of 83420

List of positive integer factors of 83420 that divides 83414 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 97, 172, 194, 215, 388, 430, 485, 860, 970, 1940, 4171, 8342, 16684, 20855, 41710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83414 and 83420. The biggest common factor number is the GCF number.
So the greatest common factor 83414 and 83420 is 2.

Also check out the Least Common Multiple of 83414 and 83420