What is the Greatest Common Factor of 83476 and 83484?

Greatest common factor (GCF) of 83476 and 83484 is 4.

GCF(83476,83484) = 4

We will now calculate the prime factors of 83476 and 83484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83476 and 83484.

How to find the GCF of 83476 and 83484?

We will first find the prime factorization of 83476 and 83484. After we will calculate the factors of 83476 and 83484 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 83484

Prime factors of 83484 are 2, 3, 773. Prime factorization of 83484 in exponential form is:

83484 = 2² × 3³ × 773¹

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 83484

List of positive integer factors of 83484 that divides 83476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 773, 1546, 2319, 3092, 4638, 6957, 9276, 13914, 20871, 27828, 41742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83476 and 83484. The biggest common factor number is the GCF number.
So the greatest common factor 83476 and 83484 is 4.

Also check out the Least Common Multiple of 83476 and 83484