What is the Greatest Common Factor of 1475 and 1493?

Greatest common factor (GCF) of 1475 and 1493 is 1.

GCF(1475,1493) = 1

We will now calculate the prime factors of 1475 and 1493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1475 and 1493.

How to find the GCF of 1475 and 1493?

We will first find the prime factorization of 1475 and 1493. After we will calculate the factors of 1475 and 1493 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 1493

Prime factors of 1493 are 1493. Prime factorization of 1493 in exponential form is:

1493 = 1493¹

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 1493

List of positive integer factors of 1493 that divides 1475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1475 and 1493. The biggest common factor number is the GCF number.
So the greatest common factor 1475 and 1493 is 1.

Also check out the Least Common Multiple of 1475 and 1493