What is the Greatest Common Factor of 61215 and 61230?

Greatest common factor (GCF) of 61215 and 61230 is 15.

GCF(61215,61230) = 15

We will now calculate the prime factors of 61215 and 61230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61215 and 61230.

How to find the GCF of 61215 and 61230?

We will first find the prime factorization of 61215 and 61230. After we will calculate the factors of 61215 and 61230 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 61230

Prime factors of 61230 are 2, 3, 5, 13, 157. Prime factorization of 61230 in exponential form is:

61230 = 2¹ × 3¹ × 5¹ × 13¹ × 157¹

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 61230

List of positive integer factors of 61230 that divides 61215 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 157, 195, 314, 390, 471, 785, 942, 1570, 2041, 2355, 4082, 4710, 6123, 10205, 12246, 20410, 30615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61215 and 61230. The biggest common factor number is the GCF number.
So the greatest common factor 61215 and 61230 is 15.

Also check out the Least Common Multiple of 61215 and 61230