What is the Greatest Common Factor of 83457 and 83463?

Greatest common factor (GCF) of 83457 and 83463 is 3.

GCF(83457,83463) = 3

We will now calculate the prime factors of 83457 and 83463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83457 and 83463.

How to find the GCF of 83457 and 83463?

We will first find the prime factorization of 83457 and 83463. After we will calculate the factors of 83457 and 83463 and find the biggest common factor number .

Step-1: Prime Factorization of 83457

Prime factors of 83457 are 3, 11, 281. Prime factorization of 83457 in exponential form is:

83457 = 3³ × 11¹ × 281¹

Step-2: Prime Factorization of 83463

Prime factors of 83463 are 3, 43, 647. Prime factorization of 83463 in exponential form is:

83463 = 3¹ × 43¹ × 647¹

Step-3: Factors of 83457

List of positive integer factors of 83457 that divides 83457 without a remainder.

1, 3, 9, 11, 27, 33, 99, 281, 297, 843, 2529, 3091, 7587, 9273, 27819

Step-4: Factors of 83463

List of positive integer factors of 83463 that divides 83457 without a remainder.

1, 3, 43, 129, 647, 1941, 27821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83457 and 83463. The biggest common factor number is the GCF number.
So the greatest common factor 83457 and 83463 is 3.

Also check out the Least Common Multiple of 83457 and 83463