What is the Greatest Common Factor of 1478 and 1484?

Greatest common factor (GCF) of 1478 and 1484 is 2.

GCF(1478,1484) = 2

We will now calculate the prime factors of 1478 and 1484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1478 and 1484.

How to find the GCF of 1478 and 1484?

We will first find the prime factorization of 1478 and 1484. After we will calculate the factors of 1478 and 1484 and find the biggest common factor number .

Step-1: Prime Factorization of 1478

Prime factors of 1478 are 2, 739. Prime factorization of 1478 in exponential form is:

1478 = 2¹ × 739¹

Step-2: Prime Factorization of 1484

Prime factors of 1484 are 2, 7, 53. Prime factorization of 1484 in exponential form is:

1484 = 2² × 7¹ × 53¹

Step-3: Factors of 1478

List of positive integer factors of 1478 that divides 1478 without a remainder.

1, 2, 739

Step-4: Factors of 1484

List of positive integer factors of 1484 that divides 1478 without a remainder.

1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1478 and 1484. The biggest common factor number is the GCF number.
So the greatest common factor 1478 and 1484 is 2.

Also check out the Least Common Multiple of 1478 and 1484