What is the Greatest Common Factor of 1464 and 1480?

Greatest common factor (GCF) of 1464 and 1480 is 8.

GCF(1464,1480) = 8

We will now calculate the prime factors of 1464 and 1480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1464 and 1480.

How to find the GCF of 1464 and 1480?

We will first find the prime factorization of 1464 and 1480. After we will calculate the factors of 1464 and 1480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1480

Prime factors of 1480 are 2, 5, 37. Prime factorization of 1480 in exponential form is:

1480 = 2³ × 5¹ × 37¹

Step-3: Factors of 1464

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

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

Step-4: Factors of 1480

List of positive integer factors of 1480 that divides 1464 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1464 and 1480. The biggest common factor number is the GCF number.
So the greatest common factor 1464 and 1480 is 8.

Also check out the Least Common Multiple of 1464 and 1480