What is the Greatest Common Factor of 1447 and 1464?

Greatest common factor (GCF) of 1447 and 1464 is 1.

GCF(1447,1464) = 1

We will now calculate the prime factors of 1447 and 1464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1447 and 1464.

How to find the GCF of 1447 and 1464?

We will first find the prime factorization of 1447 and 1464. After we will calculate the factors of 1447 and 1464 and find the biggest common factor number .

Step-1: Prime Factorization of 1447

Prime factors of 1447 are 1447. Prime factorization of 1447 in exponential form is:

1447 = 1447¹

Step-2: Prime Factorization of 1464

Prime factors of 1464 are 2, 3, 61. Prime factorization of 1464 in exponential form is:

1464 = 2³ × 3¹ × 61¹

Step-3: Factors of 1447

List of positive integer factors of 1447 that divides 1447 without a remainder.

Step-4: Factors of 1464

List of positive integer factors of 1464 that divides 1447 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1447 and 1464. The biggest common factor number is the GCF number.
So the greatest common factor 1447 and 1464 is 1.

Also check out the Least Common Multiple of 1447 and 1464