What is the Greatest Common Factor of 83476 and 83494?

Greatest common factor (GCF) of 83476 and 83494 is 2.

GCF(83476,83494) = 2

We will now calculate the prime factors of 83476 and 83494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83476 and 83494.

How to find the GCF of 83476 and 83494?

We will first find the prime factorization of 83476 and 83494. After we will calculate the factors of 83476 and 83494 and find the biggest common factor number .

Step-1: Prime Factorization of 83476

Prime factors of 83476 are 2, 41, 509. Prime factorization of 83476 in exponential form is:

83476 = 2² × 41¹ × 509¹

Step-2: Prime Factorization of 83494

Prime factors of 83494 are 2, 109, 383. Prime factorization of 83494 in exponential form is:

83494 = 2¹ × 109¹ × 383¹

Step-3: Factors of 83476

List of positive integer factors of 83476 that divides 83476 without a remainder.

1, 2, 4, 41, 82, 164, 509, 1018, 2036, 20869, 41738

Step-4: Factors of 83494

List of positive integer factors of 83494 that divides 83476 without a remainder.

1, 2, 109, 218, 383, 766, 41747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83476 and 83494. The biggest common factor number is the GCF number.
So the greatest common factor 83476 and 83494 is 2.

Also check out the Least Common Multiple of 83476 and 83494