What is the Greatest Common Factor of 1461 and 1475?

Greatest common factor (GCF) of 1461 and 1475 is 1.

GCF(1461,1475) = 1

We will now calculate the prime factors of 1461 and 1475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1461 and 1475.

How to find the GCF of 1461 and 1475?

We will first find the prime factorization of 1461 and 1475. After we will calculate the factors of 1461 and 1475 and find the biggest common factor number .

Step-1: Prime Factorization of 1461

Prime factors of 1461 are 3, 487. Prime factorization of 1461 in exponential form is:

1461 = 3¹ × 487¹

Step-2: Prime Factorization of 1475

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

1475 = 5² × 59¹

Step-3: Factors of 1461

List of positive integer factors of 1461 that divides 1461 without a remainder.

1, 3, 487

Step-4: Factors of 1475

List of positive integer factors of 1475 that divides 1461 without a remainder.

1, 5, 25, 59, 295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1461 and 1475. The biggest common factor number is the GCF number.
So the greatest common factor 1461 and 1475 is 1.

Also check out the Least Common Multiple of 1461 and 1475