What is the Greatest Common Factor of 10945 and 10956?

Greatest common factor (GCF) of 10945 and 10956 is 11.

GCF(10945,10956) = 11

We will now calculate the prime factors of 10945 and 10956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10945 and 10956.

How to find the GCF of 10945 and 10956?

We will first find the prime factorization of 10945 and 10956. After we will calculate the factors of 10945 and 10956 and find the biggest common factor number .

Step-1: Prime Factorization of 10945

Prime factors of 10945 are 5, 11, 199. Prime factorization of 10945 in exponential form is:

10945 = 5¹ × 11¹ × 199¹

Step-2: Prime Factorization of 10956

Prime factors of 10956 are 2, 3, 11, 83. Prime factorization of 10956 in exponential form is:

10956 = 2² × 3¹ × 11¹ × 83¹

Step-3: Factors of 10945

List of positive integer factors of 10945 that divides 10945 without a remainder.

1, 5, 11, 55, 199, 995, 2189

Step-4: Factors of 10956

List of positive integer factors of 10956 that divides 10945 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 83, 132, 166, 249, 332, 498, 913, 996, 1826, 2739, 3652, 5478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10945 and 10956. The biggest common factor number is the GCF number.
So the greatest common factor 10945 and 10956 is 11.

Also check out the Least Common Multiple of 10945 and 10956