What is the Greatest Common Factor of 61095 and 61113?

Greatest common factor (GCF) of 61095 and 61113 is 3.

GCF(61095,61113) = 3

We will now calculate the prime factors of 61095 and 61113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61095 and 61113.

How to find the GCF of 61095 and 61113?

We will first find the prime factorization of 61095 and 61113. After we will calculate the factors of 61095 and 61113 and find the biggest common factor number .

Step-1: Prime Factorization of 61095

Prime factors of 61095 are 3, 5, 4073. Prime factorization of 61095 in exponential form is:

61095 = 3¹ × 5¹ × 4073¹

Step-2: Prime Factorization of 61113

Prime factors of 61113 are 3, 13, 1567. Prime factorization of 61113 in exponential form is:

61113 = 3¹ × 13¹ × 1567¹

Step-3: Factors of 61095

List of positive integer factors of 61095 that divides 61095 without a remainder.

1, 3, 5, 15, 4073, 12219, 20365

Step-4: Factors of 61113

List of positive integer factors of 61113 that divides 61095 without a remainder.

1, 3, 13, 39, 1567, 4701, 20371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61095 and 61113. The biggest common factor number is the GCF number.
So the greatest common factor 61095 and 61113 is 3.

Also check out the Least Common Multiple of 61095 and 61113