What is the Greatest Common Factor of 1456 and 1474?

Greatest common factor (GCF) of 1456 and 1474 is 2.

GCF(1456,1474) = 2

We will now calculate the prime factors of 1456 and 1474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1456 and 1474.

How to find the GCF of 1456 and 1474?

We will first find the prime factorization of 1456 and 1474. After we will calculate the factors of 1456 and 1474 and find the biggest common factor number .

Step-1: Prime Factorization of 1456

Prime factors of 1456 are 2, 7, 13. Prime factorization of 1456 in exponential form is:

1456 = 2⁴ × 7¹ × 13¹

Step-2: Prime Factorization of 1474

Prime factors of 1474 are 2, 11, 67. Prime factorization of 1474 in exponential form is:

1474 = 2¹ × 11¹ × 67¹

Step-3: Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728

Step-4: Factors of 1474

List of positive integer factors of 1474 that divides 1456 without a remainder.

1, 2, 11, 22, 67, 134, 737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1456 and 1474. The biggest common factor number is the GCF number.
So the greatest common factor 1456 and 1474 is 2.

Also check out the Least Common Multiple of 1456 and 1474