What is the Greatest Common Factor of 61275 and 61285?

Greatest common factor (GCF) of 61275 and 61285 is 5.

GCF(61275,61285) = 5

We will now calculate the prime factors of 61275 and 61285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61275 and 61285.

How to find the GCF of 61275 and 61285?

We will first find the prime factorization of 61275 and 61285. After we will calculate the factors of 61275 and 61285 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 61285

Prime factors of 61285 are 5, 7, 17, 103. Prime factorization of 61285 in exponential form is:

61285 = 5¹ × 7¹ × 17¹ × 103¹

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 61285

List of positive integer factors of 61285 that divides 61275 without a remainder.

1, 5, 7, 17, 35, 85, 103, 119, 515, 595, 721, 1751, 3605, 8755, 12257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61275 and 61285. The biggest common factor number is the GCF number.
So the greatest common factor 61275 and 61285 is 5.

Also check out the Least Common Multiple of 61275 and 61285