What is the Greatest Common Factor of 1472 and 1486?

Greatest common factor (GCF) of 1472 and 1486 is 2.

GCF(1472,1486) = 2

We will now calculate the prime factors of 1472 and 1486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1472 and 1486.

How to find the GCF of 1472 and 1486?

We will first find the prime factorization of 1472 and 1486. After we will calculate the factors of 1472 and 1486 and find the biggest common factor number .

Step-1: Prime Factorization of 1472

Prime factors of 1472 are 2, 23. Prime factorization of 1472 in exponential form is:

1472 = 2⁶ × 23¹

Step-2: Prime Factorization of 1486

Prime factors of 1486 are 2, 743. Prime factorization of 1486 in exponential form is:

1486 = 2¹ × 743¹

Step-3: Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736

Step-4: Factors of 1486

List of positive integer factors of 1486 that divides 1472 without a remainder.

1, 2, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1472 and 1486. The biggest common factor number is the GCF number.
So the greatest common factor 1472 and 1486 is 2.

Also check out the Least Common Multiple of 1472 and 1486