What is the Greatest Common Factor of 1475 and 1485?

Greatest common factor (GCF) of 1475 and 1485 is 5.

GCF(1475,1485) = 5

We will now calculate the prime factors of 1475 and 1485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1475 and 1485.

How to find the GCF of 1475 and 1485?

We will first find the prime factorization of 1475 and 1485. After we will calculate the factors of 1475 and 1485 and find the biggest common factor number .

Step-1: Prime Factorization of 1475

Prime factors of 1475 are 5, 59. Prime factorization of 1475 in exponential form is:

1475 = 5² × 59¹

Step-2: Prime Factorization of 1485

Prime factors of 1485 are 3, 5, 11. Prime factorization of 1485 in exponential form is:

1485 = 3³ × 5¹ × 11¹

Step-3: Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1, 5, 25, 59, 295

Step-4: Factors of 1485

List of positive integer factors of 1485 that divides 1475 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1475 and 1485. The biggest common factor number is the GCF number.
So the greatest common factor 1475 and 1485 is 5.

Also check out the Least Common Multiple of 1475 and 1485