What is the Greatest Common Factor of 61325 and 61335?

Greatest common factor (GCF) of 61325 and 61335 is 5.

GCF(61325,61335) = 5

We will now calculate the prime factors of 61325 and 61335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61325 and 61335.

How to find the GCF of 61325 and 61335?

We will first find the prime factorization of 61325 and 61335. After we will calculate the factors of 61325 and 61335 and find the biggest common factor number .

Step-1: Prime Factorization of 61325

Prime factors of 61325 are 5, 11, 223. Prime factorization of 61325 in exponential form is:

61325 = 5² × 11¹ × 223¹

Step-2: 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-3: Factors of 61325

List of positive integer factors of 61325 that divides 61325 without a remainder.

1, 5, 11, 25, 55, 223, 275, 1115, 2453, 5575, 12265

Step-4: Factors of 61335

List of positive integer factors of 61335 that divides 61325 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61325 and 61335. The biggest common factor number is the GCF number.
So the greatest common factor 61325 and 61335 is 5.

Also check out the Least Common Multiple of 61325 and 61335