What is the Greatest Common Factor of 1470 and 1477?

Greatest common factor (GCF) of 1470 and 1477 is 7.

GCF(1470,1477) = 7

We will now calculate the prime factors of 1470 and 1477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1470 and 1477.

How to find the GCF of 1470 and 1477?

We will first find the prime factorization of 1470 and 1477. After we will calculate the factors of 1470 and 1477 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 1477

Prime factors of 1477 are 7, 211. Prime factorization of 1477 in exponential form is:

1477 = 7¹ × 211¹

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 1477

List of positive integer factors of 1477 that divides 1470 without a remainder.

1, 7, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1470 and 1477. The biggest common factor number is the GCF number.
So the greatest common factor 1470 and 1477 is 7.

Also check out the Least Common Multiple of 1470 and 1477