What is the Greatest Common Factor of 12450 and 12469?

Greatest common factor (GCF) of 12450 and 12469 is 1.

GCF(12450,12469) = 1

We will now calculate the prime factors of 12450 and 12469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12450 and 12469.

How to find the GCF of 12450 and 12469?

We will first find the prime factorization of 12450 and 12469. After we will calculate the factors of 12450 and 12469 and find the biggest common factor number .

Step-1: Prime Factorization of 12450

Prime factors of 12450 are 2, 3, 5, 83. Prime factorization of 12450 in exponential form is:

12450 = 2¹ × 3¹ × 5² × 83¹

Step-2: Prime Factorization of 12469

Prime factors of 12469 are 37, 337. Prime factorization of 12469 in exponential form is:

12469 = 37¹ × 337¹

Step-3: Factors of 12450

List of positive integer factors of 12450 that divides 12450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 83, 150, 166, 249, 415, 498, 830, 1245, 2075, 2490, 4150, 6225

Step-4: Factors of 12469

List of positive integer factors of 12469 that divides 12450 without a remainder.

1, 37, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12450 and 12469. The biggest common factor number is the GCF number.
So the greatest common factor 12450 and 12469 is 1.

Also check out the Least Common Multiple of 12450 and 12469