What is the Greatest Common Factor of 83414 and 83425?

Greatest common factor (GCF) of 83414 and 83425 is 1.

GCF(83414,83425) = 1

We will now calculate the prime factors of 83414 and 83425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83414 and 83425.

How to find the GCF of 83414 and 83425?

We will first find the prime factorization of 83414 and 83425. After we will calculate the factors of 83414 and 83425 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 83425

Prime factors of 83425 are 5, 47, 71. Prime factorization of 83425 in exponential form is:

83425 = 5² × 47¹ × 71¹

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 83425

List of positive integer factors of 83425 that divides 83414 without a remainder.

1, 5, 25, 47, 71, 235, 355, 1175, 1775, 3337, 16685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83414 and 83425. The biggest common factor number is the GCF number.
So the greatest common factor 83414 and 83425 is 1.

Also check out the Least Common Multiple of 83414 and 83425