What is the Greatest Common Factor of 83079 and 83083?

Greatest common factor (GCF) of 83079 and 83083 is 1.

GCF(83079,83083) = 1

We will now calculate the prime factors of 83079 and 83083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83079 and 83083.

How to find the GCF of 83079 and 83083?

We will first find the prime factorization of 83079 and 83083. After we will calculate the factors of 83079 and 83083 and find the biggest common factor number .

Step-1: Prime Factorization of 83079

Prime factors of 83079 are 3, 17, 181. Prime factorization of 83079 in exponential form is:

83079 = 3³ × 17¹ × 181¹

Step-2: Prime Factorization of 83083

Prime factors of 83083 are 7, 11, 13, 83. Prime factorization of 83083 in exponential form is:

83083 = 7¹ × 11¹ × 13¹ × 83¹

Step-3: Factors of 83079

List of positive integer factors of 83079 that divides 83079 without a remainder.

1, 3, 9, 17, 27, 51, 153, 181, 459, 543, 1629, 3077, 4887, 9231, 27693

Step-4: Factors of 83083

List of positive integer factors of 83083 that divides 83079 without a remainder.

1, 7, 11, 13, 77, 83, 91, 143, 581, 913, 1001, 1079, 6391, 7553, 11869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83079 and 83083. The biggest common factor number is the GCF number.
So the greatest common factor 83079 and 83083 is 1.

Also check out the Least Common Multiple of 83079 and 83083