What is the Greatest Common Factor of 80902 and 80921?

Greatest common factor (GCF) of 80902 and 80921 is 19.

GCF(80902,80921) = 19

We will now calculate the prime factors of 80902 and 80921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80902 and 80921.

How to find the GCF of 80902 and 80921?

We will first find the prime factorization of 80902 and 80921. After we will calculate the factors of 80902 and 80921 and find the biggest common factor number .

Step-1: Prime Factorization of 80902

Prime factors of 80902 are 2, 19, 2129. Prime factorization of 80902 in exponential form is:

80902 = 2¹ × 19¹ × 2129¹

Step-2: Prime Factorization of 80921

Prime factors of 80921 are 19, 4259. Prime factorization of 80921 in exponential form is:

80921 = 19¹ × 4259¹

Step-3: Factors of 80902

List of positive integer factors of 80902 that divides 80902 without a remainder.

1, 2, 19, 38, 2129, 4258, 40451

Step-4: Factors of 80921

List of positive integer factors of 80921 that divides 80902 without a remainder.

1, 19, 4259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80902 and 80921. The biggest common factor number is the GCF number.
So the greatest common factor 80902 and 80921 is 19.

Also check out the Least Common Multiple of 80902 and 80921