What is the Greatest Common Factor of 7467 and 7486?

Greatest common factor (GCF) of 7467 and 7486 is 19.

GCF(7467,7486) = 19

We will now calculate the prime factors of 7467 and 7486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7467 and 7486.

How to find the GCF of 7467 and 7486?

We will first find the prime factorization of 7467 and 7486. After we will calculate the factors of 7467 and 7486 and find the biggest common factor number .

Step-1: Prime Factorization of 7467

Prime factors of 7467 are 3, 19, 131. Prime factorization of 7467 in exponential form is:

7467 = 3¹ × 19¹ × 131¹

Step-2: Prime Factorization of 7486

Prime factors of 7486 are 2, 19, 197. Prime factorization of 7486 in exponential form is:

7486 = 2¹ × 19¹ × 197¹

Step-3: Factors of 7467

List of positive integer factors of 7467 that divides 7467 without a remainder.

1, 3, 19, 57, 131, 393, 2489

Step-4: Factors of 7486

List of positive integer factors of 7486 that divides 7467 without a remainder.

1, 2, 19, 38, 197, 394, 3743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7467 and 7486. The biggest common factor number is the GCF number.
So the greatest common factor 7467 and 7486 is 19.

Also check out the Least Common Multiple of 7467 and 7486