What is the Greatest Common Factor of 80901 and 80907?

Greatest common factor (GCF) of 80901 and 80907 is 3.

GCF(80901,80907) = 3

We will now calculate the prime factors of 80901 and 80907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80901 and 80907.

How to find the GCF of 80901 and 80907?

We will first find the prime factorization of 80901 and 80907. After we will calculate the factors of 80901 and 80907 and find the biggest common factor number .

Step-1: Prime Factorization of 80901

Prime factors of 80901 are 3, 89, 101. Prime factorization of 80901 in exponential form is:

80901 = 3² × 89¹ × 101¹

Step-2: Prime Factorization of 80907

Prime factors of 80907 are 3, 149, 181. Prime factorization of 80907 in exponential form is:

80907 = 3¹ × 149¹ × 181¹

Step-3: Factors of 80901

List of positive integer factors of 80901 that divides 80901 without a remainder.

1, 3, 9, 89, 101, 267, 303, 801, 909, 8989, 26967

Step-4: Factors of 80907

List of positive integer factors of 80907 that divides 80901 without a remainder.

1, 3, 149, 181, 447, 543, 26969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80901 and 80907. The biggest common factor number is the GCF number.
So the greatest common factor 80901 and 80907 is 3.

Also check out the Least Common Multiple of 80901 and 80907