What is the Greatest Common Factor of 31430 and 31437?

Greatest common factor (GCF) of 31430 and 31437 is 7.

GCF(31430,31437) = 7

We will now calculate the prime factors of 31430 and 31437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31430 and 31437.

How to find the GCF of 31430 and 31437?

We will first find the prime factorization of 31430 and 31437. After we will calculate the factors of 31430 and 31437 and find the biggest common factor number .

Step-1: Prime Factorization of 31430

Prime factors of 31430 are 2, 5, 7, 449. Prime factorization of 31430 in exponential form is:

31430 = 2¹ × 5¹ × 7¹ × 449¹

Step-2: Prime Factorization of 31437

Prime factors of 31437 are 3, 7, 499. Prime factorization of 31437 in exponential form is:

31437 = 3² × 7¹ × 499¹

Step-3: Factors of 31430

List of positive integer factors of 31430 that divides 31430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 449, 898, 2245, 3143, 4490, 6286, 15715

Step-4: Factors of 31437

List of positive integer factors of 31437 that divides 31430 without a remainder.

1, 3, 7, 9, 21, 63, 499, 1497, 3493, 4491, 10479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31430 and 31437. The biggest common factor number is the GCF number.
So the greatest common factor 31430 and 31437 is 7.

Also check out the Least Common Multiple of 31430 and 31437