What is the Greatest Common Factor of 80430 and 80444?

Greatest common factor (GCF) of 80430 and 80444 is 14.

GCF(80430,80444) = 14

We will now calculate the prime factors of 80430 and 80444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80430 and 80444.

How to find the GCF of 80430 and 80444?

We will first find the prime factorization of 80430 and 80444. After we will calculate the factors of 80430 and 80444 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 80444

Prime factors of 80444 are 2, 7, 13, 17. Prime factorization of 80444 in exponential form is:

80444 = 2² × 7¹ × 13² × 17¹

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 80444

List of positive integer factors of 80444 that divides 80430 without a remainder.

1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 169, 182, 221, 238, 338, 364, 442, 476, 676, 884, 1183, 1547, 2366, 2873, 3094, 4732, 5746, 6188, 11492, 20111, 40222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80430 and 80444. The biggest common factor number is the GCF number.
So the greatest common factor 80430 and 80444 is 14.

Also check out the Least Common Multiple of 80430 and 80444