What is the Greatest Common Factor of 12045 and 12056?

Greatest common factor (GCF) of 12045 and 12056 is 11.

GCF(12045,12056) = 11

We will now calculate the prime factors of 12045 and 12056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12045 and 12056.

How to find the GCF of 12045 and 12056?

We will first find the prime factorization of 12045 and 12056. After we will calculate the factors of 12045 and 12056 and find the biggest common factor number .

Step-1: Prime Factorization of 12045

Prime factors of 12045 are 3, 5, 11, 73. Prime factorization of 12045 in exponential form is:

12045 = 3¹ × 5¹ × 11¹ × 73¹

Step-2: Prime Factorization of 12056

Prime factors of 12056 are 2, 11, 137. Prime factorization of 12056 in exponential form is:

12056 = 2³ × 11¹ × 137¹

Step-3: Factors of 12045

List of positive integer factors of 12045 that divides 12045 without a remainder.

1, 3, 5, 11, 15, 33, 55, 73, 165, 219, 365, 803, 1095, 2409, 4015

Step-4: Factors of 12056

List of positive integer factors of 12056 that divides 12045 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 137, 274, 548, 1096, 1507, 3014, 6028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12045 and 12056. The biggest common factor number is the GCF number.
So the greatest common factor 12045 and 12056 is 11.

Also check out the Least Common Multiple of 12045 and 12056