What is the Greatest Common Factor of 80430 and 80445?

Greatest common factor (GCF) of 80430 and 80445 is 15.

GCF(80430,80445) = 15

We will now calculate the prime factors of 80430 and 80445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80430 and 80445.

How to find the GCF of 80430 and 80445?

We will first find the prime factorization of 80430 and 80445. After we will calculate the factors of 80430 and 80445 and find the biggest common factor number .

Step-1: Prime Factorization of 80430

Prime factors of 80430 are 2, 3, 5, 7, 383. Prime factorization of 80430 in exponential form is:

80430 = 2¹ × 3¹ × 5¹ × 7¹ × 383¹

Step-2: Prime Factorization of 80445

Prime factors of 80445 are 3, 5, 31, 173. Prime factorization of 80445 in exponential form is:

80445 = 3¹ × 5¹ × 31¹ × 173¹

Step-3: Factors of 80430

List of positive integer factors of 80430 that divides 80430 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 383, 766, 1149, 1915, 2298, 2681, 3830, 5362, 5745, 8043, 11490, 13405, 16086, 26810, 40215

Step-4: Factors of 80445

List of positive integer factors of 80445 that divides 80430 without a remainder.

1, 3, 5, 15, 31, 93, 155, 173, 465, 519, 865, 2595, 5363, 16089, 26815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80430 and 80445. The biggest common factor number is the GCF number.
So the greatest common factor 80430 and 80445 is 15.

Also check out the Least Common Multiple of 80430 and 80445