What is the Greatest Common Factor of 1448 and 1457?

Greatest common factor (GCF) of 1448 and 1457 is 1.

GCF(1448,1457) = 1

We will now calculate the prime factors of 1448 and 1457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1448 and 1457.

How to find the GCF of 1448 and 1457?

We will first find the prime factorization of 1448 and 1457. After we will calculate the factors of 1448 and 1457 and find the biggest common factor number .

Step-1: Prime Factorization of 1448

Prime factors of 1448 are 2, 181. Prime factorization of 1448 in exponential form is:

1448 = 2³ × 181¹

Step-2: Prime Factorization of 1457

Prime factors of 1457 are 31, 47. Prime factorization of 1457 in exponential form is:

1457 = 31¹ × 47¹

Step-3: Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1, 2, 4, 8, 181, 362, 724

Step-4: Factors of 1457

List of positive integer factors of 1457 that divides 1448 without a remainder.

1, 31, 47

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1448 and 1457. The biggest common factor number is the GCF number.
So the greatest common factor 1448 and 1457 is 1.

Also check out the Least Common Multiple of 1448 and 1457