What is the Greatest Common Factor of 1056 and 1065?

Greatest common factor (GCF) of 1056 and 1065 is 3.

GCF(1056,1065) = 3

We will now calculate the prime factors of 1056 and 1065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1056 and 1065.

How to find the GCF of 1056 and 1065?

We will first find the prime factorization of 1056 and 1065. After we will calculate the factors of 1056 and 1065 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1065

Prime factors of 1065 are 3, 5, 71. Prime factorization of 1065 in exponential form is:

1065 = 3¹ × 5¹ × 71¹

Step-3: Factors of 1056

List of positive integer factors of 1056 that divides 1056 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

Step-4: Factors of 1065

List of positive integer factors of 1065 that divides 1056 without a remainder.

1, 3, 5, 15, 71, 213, 355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1056 and 1065. The biggest common factor number is the GCF number.
So the greatest common factor 1056 and 1065 is 3.

Also check out the Least Common Multiple of 1056 and 1065