What is the Greatest Common Factor of 83049 and 83055?

Greatest common factor (GCF) of 83049 and 83055 is 3.

GCF(83049,83055) = 3

We will now calculate the prime factors of 83049 and 83055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83049 and 83055.

How to find the GCF of 83049 and 83055?

We will first find the prime factorization of 83049 and 83055. After we will calculate the factors of 83049 and 83055 and find the biggest common factor number .

Step-1: Prime Factorization of 83049

Prime factors of 83049 are 3, 19, 31, 47. Prime factorization of 83049 in exponential form is:

83049 = 3¹ × 19¹ × 31¹ × 47¹

Step-2: Prime Factorization of 83055

Prime factors of 83055 are 3, 5, 7, 113. Prime factorization of 83055 in exponential form is:

83055 = 3¹ × 5¹ × 7² × 113¹

Step-3: Factors of 83049

List of positive integer factors of 83049 that divides 83049 without a remainder.

1, 3, 19, 31, 47, 57, 93, 141, 589, 893, 1457, 1767, 2679, 4371, 27683

Step-4: Factors of 83055

List of positive integer factors of 83055 that divides 83049 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 113, 147, 245, 339, 565, 735, 791, 1695, 2373, 3955, 5537, 11865, 16611, 27685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83049 and 83055. The biggest common factor number is the GCF number.
So the greatest common factor 83049 and 83055 is 3.

Also check out the Least Common Multiple of 83049 and 83055