What is the Greatest Common Factor of 80925 and 80933?

Greatest common factor (GCF) of 80925 and 80933 is 1.

GCF(80925,80933) = 1

We will now calculate the prime factors of 80925 and 80933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80925 and 80933.

How to find the GCF of 80925 and 80933?

We will first find the prime factorization of 80925 and 80933. After we will calculate the factors of 80925 and 80933 and find the biggest common factor number .

Step-1: Prime Factorization of 80925

Prime factors of 80925 are 3, 5, 13, 83. Prime factorization of 80925 in exponential form is:

80925 = 3¹ × 5² × 13¹ × 83¹

Step-2: Prime Factorization of 80933

Prime factors of 80933 are 80933. Prime factorization of 80933 in exponential form is:

80933 = 80933¹

Step-3: Factors of 80925

List of positive integer factors of 80925 that divides 80925 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 83, 195, 249, 325, 415, 975, 1079, 1245, 2075, 3237, 5395, 6225, 16185, 26975

Step-4: Factors of 80933

List of positive integer factors of 80933 that divides 80925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80925 and 80933. The biggest common factor number is the GCF number.
So the greatest common factor 80925 and 80933 is 1.

Also check out the Least Common Multiple of 80925 and 80933