What is the Greatest Common Factor of 61215 and 61225?

Greatest common factor (GCF) of 61215 and 61225 is 5.

GCF(61215,61225) = 5

We will now calculate the prime factors of 61215 and 61225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61215 and 61225.

How to find the GCF of 61215 and 61225?

We will first find the prime factorization of 61215 and 61225. After we will calculate the factors of 61215 and 61225 and find the biggest common factor number .

Step-1: Prime Factorization of 61215

Prime factors of 61215 are 3, 5, 7, 11, 53. Prime factorization of 61215 in exponential form is:

61215 = 3¹ × 5¹ × 7¹ × 11¹ × 53¹

Step-2: Prime Factorization of 61225

Prime factors of 61225 are 5, 31, 79. Prime factorization of 61225 in exponential form is:

61225 = 5² × 31¹ × 79¹

Step-3: Factors of 61215

List of positive integer factors of 61215 that divides 61215 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 53, 55, 77, 105, 159, 165, 231, 265, 371, 385, 583, 795, 1113, 1155, 1749, 1855, 2915, 4081, 5565, 8745, 12243, 20405

Step-4: Factors of 61225

List of positive integer factors of 61225 that divides 61215 without a remainder.

1, 5, 25, 31, 79, 155, 395, 775, 1975, 2449, 12245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61215 and 61225. The biggest common factor number is the GCF number.
So the greatest common factor 61215 and 61225 is 5.

Also check out the Least Common Multiple of 61215 and 61225