What is the Greatest Common Factor of 80949 and 80967?

Greatest common factor (GCF) of 80949 and 80967 is 3.

GCF(80949,80967) = 3

We will now calculate the prime factors of 80949 and 80967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80949 and 80967.

How to find the GCF of 80949 and 80967?

We will first find the prime factorization of 80949 and 80967. After we will calculate the factors of 80949 and 80967 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80967

Prime factors of 80967 are 3, 137, 197. Prime factorization of 80967 in exponential form is:

80967 = 3¹ × 137¹ × 197¹

Step-3: Factors of 80949

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

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

Step-4: Factors of 80967

List of positive integer factors of 80967 that divides 80949 without a remainder.

1, 3, 137, 197, 411, 591, 26989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80949 and 80967. The biggest common factor number is the GCF number.
So the greatest common factor 80949 and 80967 is 3.

Also check out the Least Common Multiple of 80949 and 80967