What is the Greatest Common Factor of 1041 and 1056?

Greatest common factor (GCF) of 1041 and 1056 is 3.

GCF(1041,1056) = 3

We will now calculate the prime factors of 1041 and 1056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1041 and 1056.

How to find the GCF of 1041 and 1056?

We will first find the prime factorization of 1041 and 1056. After we will calculate the factors of 1041 and 1056 and find the biggest common factor number .

Step-1: Prime Factorization of 1041

Prime factors of 1041 are 3, 347. Prime factorization of 1041 in exponential form is:

1041 = 3¹ × 347¹

Step-2: Prime Factorization of 1056

Prime factors of 1056 are 2, 3, 11. Prime factorization of 1056 in exponential form is:

1056 = 2⁵ × 3¹ × 11¹

Step-3: Factors of 1041

List of positive integer factors of 1041 that divides 1041 without a remainder.

1, 3, 347

Step-4: Factors of 1056

List of positive integer factors of 1056 that divides 1041 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1041 and 1056. The biggest common factor number is the GCF number.
So the greatest common factor 1041 and 1056 is 3.

Also check out the Least Common Multiple of 1041 and 1056