What is the Greatest Common Factor of 1095 and 1104?

Greatest common factor (GCF) of 1095 and 1104 is 3.

GCF(1095,1104) = 3

We will now calculate the prime factors of 1095 and 1104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1095 and 1104.

How to find the GCF of 1095 and 1104?

We will first find the prime factorization of 1095 and 1104. After we will calculate the factors of 1095 and 1104 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 1104

Prime factors of 1104 are 2, 3, 23. Prime factorization of 1104 in exponential form is:

1104 = 2⁴ × 3¹ × 23¹

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 1104

List of positive integer factors of 1104 that divides 1095 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1095 and 1104. The biggest common factor number is the GCF number.
So the greatest common factor 1095 and 1104 is 3.

Also check out the Least Common Multiple of 1095 and 1104