What is the Greatest Common Factor of 39431 and 39438?

Greatest common factor (GCF) of 39431 and 39438 is 7.

GCF(39431,39438) = 7

We will now calculate the prime factors of 39431 and 39438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39431 and 39438.

How to find the GCF of 39431 and 39438?

We will first find the prime factorization of 39431 and 39438. After we will calculate the factors of 39431 and 39438 and find the biggest common factor number .

Step-1: Prime Factorization of 39431

Prime factors of 39431 are 7, 43, 131. Prime factorization of 39431 in exponential form is:

39431 = 7¹ × 43¹ × 131¹

Step-2: Prime Factorization of 39438

Prime factors of 39438 are 2, 3, 7, 313. Prime factorization of 39438 in exponential form is:

39438 = 2¹ × 3² × 7¹ × 313¹

Step-3: Factors of 39431

List of positive integer factors of 39431 that divides 39431 without a remainder.

1, 7, 43, 131, 301, 917, 5633

Step-4: Factors of 39438

List of positive integer factors of 39438 that divides 39431 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 313, 626, 939, 1878, 2191, 2817, 4382, 5634, 6573, 13146, 19719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39431 and 39438. The biggest common factor number is the GCF number.
So the greatest common factor 39431 and 39438 is 7.

Also check out the Least Common Multiple of 39431 and 39438