What is the Greatest Common Factor of 1494 and 1504?

Greatest common factor (GCF) of 1494 and 1504 is 2.

GCF(1494,1504) = 2

We will now calculate the prime factors of 1494 and 1504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1494 and 1504.

How to find the GCF of 1494 and 1504?

We will first find the prime factorization of 1494 and 1504. After we will calculate the factors of 1494 and 1504 and find the biggest common factor number .

Step-1: Prime Factorization of 1494

Prime factors of 1494 are 2, 3, 83. Prime factorization of 1494 in exponential form is:

1494 = 2¹ × 3² × 83¹

Step-2: Prime Factorization of 1504

Prime factors of 1504 are 2, 47. Prime factorization of 1504 in exponential form is:

1504 = 2⁵ × 47¹

Step-3: Factors of 1494

List of positive integer factors of 1494 that divides 1494 without a remainder.

1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747

Step-4: Factors of 1504

List of positive integer factors of 1504 that divides 1494 without a remainder.

1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1494 and 1504. The biggest common factor number is the GCF number.
So the greatest common factor 1494 and 1504 is 2.

Also check out the Least Common Multiple of 1494 and 1504