What is the Greatest Common Factor of 61515 and 61535?

Greatest common factor (GCF) of 61515 and 61535 is 5.

GCF(61515,61535) = 5

We will now calculate the prime factors of 61515 and 61535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61515 and 61535.

How to find the GCF of 61515 and 61535?

We will first find the prime factorization of 61515 and 61535. After we will calculate the factors of 61515 and 61535 and find the biggest common factor number .

Step-1: Prime Factorization of 61515

Prime factors of 61515 are 3, 5, 1367. Prime factorization of 61515 in exponential form is:

61515 = 3² × 5¹ × 1367¹

Step-2: Prime Factorization of 61535

Prime factors of 61535 are 5, 31, 397. Prime factorization of 61535 in exponential form is:

61535 = 5¹ × 31¹ × 397¹

Step-3: Factors of 61515

List of positive integer factors of 61515 that divides 61515 without a remainder.

1, 3, 5, 9, 15, 45, 1367, 4101, 6835, 12303, 20505

Step-4: Factors of 61535

List of positive integer factors of 61535 that divides 61515 without a remainder.

1, 5, 31, 155, 397, 1985, 12307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61515 and 61535. The biggest common factor number is the GCF number.
So the greatest common factor 61515 and 61535 is 5.

Also check out the Least Common Multiple of 61515 and 61535