What is the Greatest Common Factor of 10430 and 10444?

Greatest common factor (GCF) of 10430 and 10444 is 14.

GCF(10430,10444) = 14

We will now calculate the prime factors of 10430 and 10444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10430 and 10444.

How to find the GCF of 10430 and 10444?

We will first find the prime factorization of 10430 and 10444. After we will calculate the factors of 10430 and 10444 and find the biggest common factor number .

Step-1: Prime Factorization of 10430

Prime factors of 10430 are 2, 5, 7, 149. Prime factorization of 10430 in exponential form is:

10430 = 2¹ × 5¹ × 7¹ × 149¹

Step-2: Prime Factorization of 10444

Prime factors of 10444 are 2, 7, 373. Prime factorization of 10444 in exponential form is:

10444 = 2² × 7¹ × 373¹

Step-3: Factors of 10430

List of positive integer factors of 10430 that divides 10430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 149, 298, 745, 1043, 1490, 2086, 5215

Step-4: Factors of 10444

List of positive integer factors of 10444 that divides 10430 without a remainder.

1, 2, 4, 7, 14, 28, 373, 746, 1492, 2611, 5222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10430 and 10444. The biggest common factor number is the GCF number.
So the greatest common factor 10430 and 10444 is 14.

Also check out the Least Common Multiple of 10430 and 10444