What is the Greatest Common Factor of 4031 and 4050?

Greatest common factor (GCF) of 4031 and 4050 is 1.

GCF(4031,4050) = 1

We will now calculate the prime factors of 4031 and 4050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4031 and 4050.

How to find the GCF of 4031 and 4050?

We will first find the prime factorization of 4031 and 4050. After we will calculate the factors of 4031 and 4050 and find the biggest common factor number .

Step-1: Prime Factorization of 4031

Prime factors of 4031 are 29, 139. Prime factorization of 4031 in exponential form is:

4031 = 29¹ × 139¹

Step-2: Prime Factorization of 4050

Prime factors of 4050 are 2, 3, 5. Prime factorization of 4050 in exponential form is:

4050 = 2¹ × 3⁴ × 5²

Step-3: Factors of 4031

List of positive integer factors of 4031 that divides 4031 without a remainder.

1, 29, 139

Step-4: Factors of 4050

List of positive integer factors of 4050 that divides 4031 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4031 and 4050. The biggest common factor number is the GCF number.
So the greatest common factor 4031 and 4050 is 1.

Also check out the Least Common Multiple of 4031 and 4050