What is the Greatest Common Factor of 1458 and 1476?

Greatest common factor (GCF) of 1458 and 1476 is 18.

GCF(1458,1476) = 18

We will now calculate the prime factors of 1458 and 1476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1458 and 1476.

How to find the GCF of 1458 and 1476?

We will first find the prime factorization of 1458 and 1476. After we will calculate the factors of 1458 and 1476 and find the biggest common factor number .

Step-1: Prime Factorization of 1458

Prime factors of 1458 are 2, 3. Prime factorization of 1458 in exponential form is:

1458 = 2¹ × 3⁶

Step-2: Prime Factorization of 1476

Prime factors of 1476 are 2, 3, 41. Prime factorization of 1476 in exponential form is:

1476 = 2² × 3² × 41¹

Step-3: Factors of 1458

List of positive integer factors of 1458 that divides 1458 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729

Step-4: Factors of 1476

List of positive integer factors of 1476 that divides 1458 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1458 and 1476. The biggest common factor number is the GCF number.
So the greatest common factor 1458 and 1476 is 18.

Also check out the Least Common Multiple of 1458 and 1476