What is the Greatest Common Factor of 1467 and 1487?

Greatest common factor (GCF) of 1467 and 1487 is 1.

GCF(1467,1487) = 1

We will now calculate the prime factors of 1467 and 1487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1467 and 1487.

How to find the GCF of 1467 and 1487?

We will first find the prime factorization of 1467 and 1487. After we will calculate the factors of 1467 and 1487 and find the biggest common factor number .

Step-1: Prime Factorization of 1467

Prime factors of 1467 are 3, 163. Prime factorization of 1467 in exponential form is:

1467 = 3² × 163¹

Step-2: Prime Factorization of 1487

Prime factors of 1487 are 1487. Prime factorization of 1487 in exponential form is:

1487 = 1487¹

Step-3: Factors of 1467

List of positive integer factors of 1467 that divides 1467 without a remainder.

1, 3, 9, 163, 489

Step-4: Factors of 1487

List of positive integer factors of 1487 that divides 1467 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1467 and 1487. The biggest common factor number is the GCF number.
So the greatest common factor 1467 and 1487 is 1.

Also check out the Least Common Multiple of 1467 and 1487