What is the Greatest Common Factor of 61195 and 61215?

Greatest common factor (GCF) of 61195 and 61215 is 5.

GCF(61195,61215) = 5

We will now calculate the prime factors of 61195 and 61215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61195 and 61215.

How to find the GCF of 61195 and 61215?

We will first find the prime factorization of 61195 and 61215. After we will calculate the factors of 61195 and 61215 and find the biggest common factor number .

Step-1: Prime Factorization of 61195

Prime factors of 61195 are 5, 12239. Prime factorization of 61195 in exponential form is:

61195 = 5¹ × 12239¹

Step-2: 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-3: Factors of 61195

List of positive integer factors of 61195 that divides 61195 without a remainder.

1, 5, 12239

Step-4: Factors of 61215

List of positive integer factors of 61215 that divides 61195 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61195 and 61215. The biggest common factor number is the GCF number.
So the greatest common factor 61195 and 61215 is 5.

Also check out the Least Common Multiple of 61195 and 61215