What is the Greatest Common Factor of 10934 and 10945?

Greatest common factor (GCF) of 10934 and 10945 is 11.

GCF(10934,10945) = 11

We will now calculate the prime factors of 10934 and 10945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10934 and 10945.

How to find the GCF of 10934 and 10945?

We will first find the prime factorization of 10934 and 10945. After we will calculate the factors of 10934 and 10945 and find the biggest common factor number .

Step-1: Prime Factorization of 10934

Prime factors of 10934 are 2, 7, 11, 71. Prime factorization of 10934 in exponential form is:

10934 = 2¹ × 7¹ × 11¹ × 71¹

Step-2: 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-3: Factors of 10934

List of positive integer factors of 10934 that divides 10934 without a remainder.

1, 2, 7, 11, 14, 22, 71, 77, 142, 154, 497, 781, 994, 1562, 5467

Step-4: Factors of 10945

List of positive integer factors of 10945 that divides 10934 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10934 and 10945. The biggest common factor number is the GCF number.
So the greatest common factor 10934 and 10945 is 11.

Also check out the Least Common Multiple of 10934 and 10945