What is the Greatest Common Factor of 10948 and 10965?

Greatest common factor (GCF) of 10948 and 10965 is 17.

GCF(10948,10965) = 17

We will now calculate the prime factors of 10948 and 10965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10948 and 10965.

How to find the GCF of 10948 and 10965?

We will first find the prime factorization of 10948 and 10965. After we will calculate the factors of 10948 and 10965 and find the biggest common factor number .

Step-1: Prime Factorization of 10948

Prime factors of 10948 are 2, 7, 17, 23. Prime factorization of 10948 in exponential form is:

10948 = 2² × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 10965

Prime factors of 10965 are 3, 5, 17, 43. Prime factorization of 10965 in exponential form is:

10965 = 3¹ × 5¹ × 17¹ × 43¹

Step-3: Factors of 10948

List of positive integer factors of 10948 that divides 10948 without a remainder.

1, 2, 4, 7, 14, 17, 23, 28, 34, 46, 68, 92, 119, 161, 238, 322, 391, 476, 644, 782, 1564, 2737, 5474

Step-4: Factors of 10965

List of positive integer factors of 10965 that divides 10948 without a remainder.

1, 3, 5, 15, 17, 43, 51, 85, 129, 215, 255, 645, 731, 2193, 3655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10948 and 10965. The biggest common factor number is the GCF number.
So the greatest common factor 10948 and 10965 is 17.

Also check out the Least Common Multiple of 10948 and 10965