What is the Greatest Common Factor of 61335 and 61355?

Greatest common factor (GCF) of 61335 and 61355 is 5.

GCF(61335,61355) = 5

We will now calculate the prime factors of 61335 and 61355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61335 and 61355.

How to find the GCF of 61335 and 61355?

We will first find the prime factorization of 61335 and 61355. After we will calculate the factors of 61335 and 61355 and find the biggest common factor number .

Step-1: Prime Factorization of 61335

Prime factors of 61335 are 3, 5, 29, 47. Prime factorization of 61335 in exponential form is:

61335 = 3² × 5¹ × 29¹ × 47¹

Step-2: Prime Factorization of 61355

Prime factors of 61355 are 5, 7, 1753. Prime factorization of 61355 in exponential form is:

61355 = 5¹ × 7¹ × 1753¹

Step-3: Factors of 61335

List of positive integer factors of 61335 that divides 61335 without a remainder.

1, 3, 5, 9, 15, 29, 45, 47, 87, 141, 145, 235, 261, 423, 435, 705, 1305, 1363, 2115, 4089, 6815, 12267, 20445

Step-4: Factors of 61355

List of positive integer factors of 61355 that divides 61335 without a remainder.

1, 5, 7, 35, 1753, 8765, 12271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61335 and 61355. The biggest common factor number is the GCF number.
So the greatest common factor 61335 and 61355 is 5.

Also check out the Least Common Multiple of 61335 and 61355