What is the Greatest Common Factor of 80948 and 80959?

Greatest common factor (GCF) of 80948 and 80959 is 1.

GCF(80948,80959) = 1

We will now calculate the prime factors of 80948 and 80959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80948 and 80959.

How to find the GCF of 80948 and 80959?

We will first find the prime factorization of 80948 and 80959. After we will calculate the factors of 80948 and 80959 and find the biggest common factor number .

Step-1: Prime Factorization of 80948

Prime factors of 80948 are 2, 7, 59. Prime factorization of 80948 in exponential form is:

80948 = 2² × 7³ × 59¹

Step-2: Prime Factorization of 80959

Prime factors of 80959 are 19, 4261. Prime factorization of 80959 in exponential form is:

80959 = 19¹ × 4261¹

Step-3: Factors of 80948

List of positive integer factors of 80948 that divides 80948 without a remainder.

1, 2, 4, 7, 14, 28, 49, 59, 98, 118, 196, 236, 343, 413, 686, 826, 1372, 1652, 2891, 5782, 11564, 20237, 40474

Step-4: Factors of 80959

List of positive integer factors of 80959 that divides 80948 without a remainder.

1, 19, 4261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80948 and 80959. The biggest common factor number is the GCF number.
So the greatest common factor 80948 and 80959 is 1.

Also check out the Least Common Multiple of 80948 and 80959