What is the Greatest Common Factor of 12440 and 12450?

Greatest common factor (GCF) of 12440 and 12450 is 10.

GCF(12440,12450) = 10

We will now calculate the prime factors of 12440 and 12450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12440 and 12450.

How to find the GCF of 12440 and 12450?

We will first find the prime factorization of 12440 and 12450. After we will calculate the factors of 12440 and 12450 and find the biggest common factor number .

Step-1: Prime Factorization of 12440

Prime factors of 12440 are 2, 5, 311. Prime factorization of 12440 in exponential form is:

12440 = 2³ × 5¹ × 311¹

Step-2: 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-3: Factors of 12440

List of positive integer factors of 12440 that divides 12440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 311, 622, 1244, 1555, 2488, 3110, 6220

Step-4: Factors of 12450

List of positive integer factors of 12450 that divides 12440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12440 and 12450. The biggest common factor number is the GCF number.
So the greatest common factor 12440 and 12450 is 10.

Also check out the Least Common Multiple of 12440 and 12450