What is the Greatest Common Factor of 1095 and 1113?

Greatest common factor (GCF) of 1095 and 1113 is 3.

GCF(1095,1113) = 3

We will now calculate the prime factors of 1095 and 1113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1095 and 1113.

How to find the GCF of 1095 and 1113?

We will first find the prime factorization of 1095 and 1113. After we will calculate the factors of 1095 and 1113 and find the biggest common factor number .

Step-1: Prime Factorization of 1095

Prime factors of 1095 are 3, 5, 73. Prime factorization of 1095 in exponential form is:

1095 = 3¹ × 5¹ × 73¹

Step-2: Prime Factorization of 1113

Prime factors of 1113 are 3, 7, 53. Prime factorization of 1113 in exponential form is:

1113 = 3¹ × 7¹ × 53¹

Step-3: Factors of 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1, 3, 5, 15, 73, 219, 365

Step-4: Factors of 1113

List of positive integer factors of 1113 that divides 1095 without a remainder.

1, 3, 7, 21, 53, 159, 371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1095 and 1113. The biggest common factor number is the GCF number.
So the greatest common factor 1095 and 1113 is 3.

Also check out the Least Common Multiple of 1095 and 1113