What is the Greatest Common Factor of 1456 and 1469?

Greatest common factor (GCF) of 1456 and 1469 is 13.

GCF(1456,1469) = 13

We will now calculate the prime factors of 1456 and 1469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1456 and 1469.

How to find the GCF of 1456 and 1469?

We will first find the prime factorization of 1456 and 1469. After we will calculate the factors of 1456 and 1469 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 1469

Prime factors of 1469 are 13, 113. Prime factorization of 1469 in exponential form is:

1469 = 13¹ × 113¹

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 1469

List of positive integer factors of 1469 that divides 1456 without a remainder.

1, 13, 113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1456 and 1469. The biggest common factor number is the GCF number.
So the greatest common factor 1456 and 1469 is 13.

Also check out the Least Common Multiple of 1456 and 1469