What is the Greatest Common Factor of 4150 and 4169?

Greatest common factor (GCF) of 4150 and 4169 is 1.

GCF(4150,4169) = 1

We will now calculate the prime factors of 4150 and 4169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4150 and 4169.

How to find the GCF of 4150 and 4169?

We will first find the prime factorization of 4150 and 4169. After we will calculate the factors of 4150 and 4169 and find the biggest common factor number .

Step-1: Prime Factorization of 4150

Prime factors of 4150 are 2, 5, 83. Prime factorization of 4150 in exponential form is:

4150 = 2¹ × 5² × 83¹

Step-2: Prime Factorization of 4169

Prime factors of 4169 are 11, 379. Prime factorization of 4169 in exponential form is:

4169 = 11¹ × 379¹

Step-3: Factors of 4150

List of positive integer factors of 4150 that divides 4150 without a remainder.

1, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075

Step-4: Factors of 4169

List of positive integer factors of 4169 that divides 4150 without a remainder.

1, 11, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4150 and 4169. The biggest common factor number is the GCF number.
So the greatest common factor 4150 and 4169 is 1.

Also check out the Least Common Multiple of 4150 and 4169