What is the Greatest Common Factor of 80898 and 80907?

Greatest common factor (GCF) of 80898 and 80907 is 3.

GCF(80898,80907) = 3

We will now calculate the prime factors of 80898 and 80907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80898 and 80907.

How to find the GCF of 80898 and 80907?

We will first find the prime factorization of 80898 and 80907. After we will calculate the factors of 80898 and 80907 and find the biggest common factor number .

Step-1: Prime Factorization of 80898

Prime factors of 80898 are 2, 3, 97, 139. Prime factorization of 80898 in exponential form is:

80898 = 2¹ × 3¹ × 97¹ × 139¹

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 80898

List of positive integer factors of 80898 that divides 80898 without a remainder.

1, 2, 3, 6, 97, 139, 194, 278, 291, 417, 582, 834, 13483, 26966, 40449

Step-4: Factors of 80907

List of positive integer factors of 80907 that divides 80898 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80898 and 80907. The biggest common factor number is the GCF number.
So the greatest common factor 80898 and 80907 is 3.

Also check out the Least Common Multiple of 80898 and 80907