What is the Greatest Common Factor of 1470 and 1478?

Greatest common factor (GCF) of 1470 and 1478 is 2.

GCF(1470,1478) = 2

We will now calculate the prime factors of 1470 and 1478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1470 and 1478.

How to find the GCF of 1470 and 1478?

We will first find the prime factorization of 1470 and 1478. After we will calculate the factors of 1470 and 1478 and find the biggest common factor number .

Step-1: Prime Factorization of 1470

Prime factors of 1470 are 2, 3, 5, 7. Prime factorization of 1470 in exponential form is:

1470 = 2¹ × 3¹ × 5¹ × 7²

Step-2: Prime Factorization of 1478

Prime factors of 1478 are 2, 739. Prime factorization of 1478 in exponential form is:

1478 = 2¹ × 739¹

Step-3: Factors of 1470

List of positive integer factors of 1470 that divides 1470 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735

Step-4: Factors of 1478

List of positive integer factors of 1478 that divides 1470 without a remainder.

1, 2, 739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1470 and 1478. The biggest common factor number is the GCF number.
So the greatest common factor 1470 and 1478 is 2.

Also check out the Least Common Multiple of 1470 and 1478