What is the Greatest Common Factor of 5475 and 5479?

Greatest common factor (GCF) of 5475 and 5479 is 1.

GCF(5475,5479) = 1

We will now calculate the prime factors of 5475 and 5479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5475 and 5479.

How to find the GCF of 5475 and 5479?

We will first find the prime factorization of 5475 and 5479. After we will calculate the factors of 5475 and 5479 and find the biggest common factor number .

Step-1: Prime Factorization of 5475

Prime factors of 5475 are 3, 5, 73. Prime factorization of 5475 in exponential form is:

5475 = 3¹ × 5² × 73¹

Step-2: Prime Factorization of 5479

Prime factors of 5479 are 5479. Prime factorization of 5479 in exponential form is:

5479 = 5479¹

Step-3: Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825

Step-4: Factors of 5479

List of positive integer factors of 5479 that divides 5475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5475 and 5479. The biggest common factor number is the GCF number.
So the greatest common factor 5475 and 5479 is 1.

Also check out the Least Common Multiple of 5475 and 5479