What is the Greatest Common Factor of 61275 and 61279?

Greatest common factor (GCF) of 61275 and 61279 is 1.

GCF(61275,61279) = 1

We will now calculate the prime factors of 61275 and 61279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61275 and 61279.

How to find the GCF of 61275 and 61279?

We will first find the prime factorization of 61275 and 61279. After we will calculate the factors of 61275 and 61279 and find the biggest common factor number .

Step-1: Prime Factorization of 61275

Prime factors of 61275 are 3, 5, 19, 43. Prime factorization of 61275 in exponential form is:

61275 = 3¹ × 5² × 19¹ × 43¹

Step-2: Prime Factorization of 61279

Prime factors of 61279 are 233, 263. Prime factorization of 61279 in exponential form is:

61279 = 233¹ × 263¹

Step-3: Factors of 61275

List of positive integer factors of 61275 that divides 61275 without a remainder.

1, 3, 5, 15, 19, 25, 43, 57, 75, 95, 129, 215, 285, 475, 645, 817, 1075, 1425, 2451, 3225, 4085, 12255, 20425

Step-4: Factors of 61279

List of positive integer factors of 61279 that divides 61275 without a remainder.

1, 233, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61275 and 61279. The biggest common factor number is the GCF number.
So the greatest common factor 61275 and 61279 is 1.

Also check out the Least Common Multiple of 61275 and 61279