What is the Greatest Common Factor of 80962 and 80969?

Greatest common factor (GCF) of 80962 and 80969 is 7.

GCF(80962,80969) = 7

We will now calculate the prime factors of 80962 and 80969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80962 and 80969.

How to find the GCF of 80962 and 80969?

We will first find the prime factorization of 80962 and 80969. After we will calculate the factors of 80962 and 80969 and find the biggest common factor number .

Step-1: Prime Factorization of 80962

Prime factors of 80962 are 2, 7, 5783. Prime factorization of 80962 in exponential form is:

80962 = 2¹ × 7¹ × 5783¹

Step-2: Prime Factorization of 80969

Prime factors of 80969 are 7, 43, 269. Prime factorization of 80969 in exponential form is:

80969 = 7¹ × 43¹ × 269¹

Step-3: Factors of 80962

List of positive integer factors of 80962 that divides 80962 without a remainder.

1, 2, 7, 14, 5783, 11566, 40481

Step-4: Factors of 80969

List of positive integer factors of 80969 that divides 80962 without a remainder.

1, 7, 43, 269, 301, 1883, 11567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80962 and 80969. The biggest common factor number is the GCF number.
So the greatest common factor 80962 and 80969 is 7.

Also check out the Least Common Multiple of 80962 and 80969