What is the Greatest Common Factor of 83039 and 83050?

Greatest common factor (GCF) of 83039 and 83050 is 11.

GCF(83039,83050) = 11

We will now calculate the prime factors of 83039 and 83050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83039 and 83050.

How to find the GCF of 83039 and 83050?

We will first find the prime factorization of 83039 and 83050. After we will calculate the factors of 83039 and 83050 and find the biggest common factor number .

Step-1: Prime Factorization of 83039

Prime factors of 83039 are 11, 7549. Prime factorization of 83039 in exponential form is:

83039 = 11¹ × 7549¹

Step-2: Prime Factorization of 83050

Prime factors of 83050 are 2, 5, 11, 151. Prime factorization of 83050 in exponential form is:

83050 = 2¹ × 5² × 11¹ × 151¹

Step-3: Factors of 83039

List of positive integer factors of 83039 that divides 83039 without a remainder.

1, 11, 7549

Step-4: Factors of 83050

List of positive integer factors of 83050 that divides 83039 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 151, 275, 302, 550, 755, 1510, 1661, 3322, 3775, 7550, 8305, 16610, 41525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83039 and 83050. The biggest common factor number is the GCF number.
So the greatest common factor 83039 and 83050 is 11.

Also check out the Least Common Multiple of 83039 and 83050