What is the Greatest Common Factor of 80938 and 80949?

Greatest common factor (GCF) of 80938 and 80949 is 11.

GCF(80938,80949) = 11

We will now calculate the prime factors of 80938 and 80949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80938 and 80949.

How to find the GCF of 80938 and 80949?

We will first find the prime factorization of 80938 and 80949. After we will calculate the factors of 80938 and 80949 and find the biggest common factor number .

Step-1: Prime Factorization of 80938

Prime factors of 80938 are 2, 11, 13, 283. Prime factorization of 80938 in exponential form is:

80938 = 2¹ × 11¹ × 13¹ × 283¹

Step-2: Prime Factorization of 80949

Prime factors of 80949 are 3, 11, 223. Prime factorization of 80949 in exponential form is:

80949 = 3¹ × 11² × 223¹

Step-3: Factors of 80938

List of positive integer factors of 80938 that divides 80938 without a remainder.

1, 2, 11, 13, 22, 26, 143, 283, 286, 566, 3113, 3679, 6226, 7358, 40469

Step-4: Factors of 80949

List of positive integer factors of 80949 that divides 80938 without a remainder.

1, 3, 11, 33, 121, 223, 363, 669, 2453, 7359, 26983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80938 and 80949. The biggest common factor number is the GCF number.
So the greatest common factor 80938 and 80949 is 11.

Also check out the Least Common Multiple of 80938 and 80949