What is the Greatest Common Factor of 1456 and 1462?

Greatest common factor (GCF) of 1456 and 1462 is 2.

GCF(1456,1462) = 2

We will now calculate the prime factors of 1456 and 1462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1456 and 1462.

How to find the GCF of 1456 and 1462?

We will first find the prime factorization of 1456 and 1462. After we will calculate the factors of 1456 and 1462 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 1462

Prime factors of 1462 are 2, 17, 43. Prime factorization of 1462 in exponential form is:

1462 = 2¹ × 17¹ × 43¹

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 1462

List of positive integer factors of 1462 that divides 1456 without a remainder.

1, 2, 17, 34, 43, 86, 731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1456 and 1462. The biggest common factor number is the GCF number.
So the greatest common factor 1456 and 1462 is 2.

Also check out the Least Common Multiple of 1456 and 1462