What is the Greatest Common Factor of 80930 and 80948?

Greatest common factor (GCF) of 80930 and 80948 is 2.

GCF(80930,80948) = 2

We will now calculate the prime factors of 80930 and 80948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80930 and 80948.

How to find the GCF of 80930 and 80948?

We will first find the prime factorization of 80930 and 80948. After we will calculate the factors of 80930 and 80948 and find the biggest common factor number .

Step-1: Prime Factorization of 80930

Prime factors of 80930 are 2, 5, 8093. Prime factorization of 80930 in exponential form is:

80930 = 2¹ × 5¹ × 8093¹

Step-2: 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-3: Factors of 80930

List of positive integer factors of 80930 that divides 80930 without a remainder.

1, 2, 5, 10, 8093, 16186, 40465

Step-4: Factors of 80948

List of positive integer factors of 80948 that divides 80930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80930 and 80948. The biggest common factor number is the GCF number.
So the greatest common factor 80930 and 80948 is 2.

Also check out the Least Common Multiple of 80930 and 80948