What is the Greatest Common Factor of 80412 and 80430?

Greatest common factor (GCF) of 80412 and 80430 is 6.

GCF(80412,80430) = 6

We will now calculate the prime factors of 80412 and 80430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80412 and 80430.

How to find the GCF of 80412 and 80430?

We will first find the prime factorization of 80412 and 80430. After we will calculate the factors of 80412 and 80430 and find the biggest common factor number .

Step-1: Prime Factorization of 80412

Prime factors of 80412 are 2, 3, 6701. Prime factorization of 80412 in exponential form is:

80412 = 2² × 3¹ × 6701¹

Step-2: 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-3: Factors of 80412

List of positive integer factors of 80412 that divides 80412 without a remainder.

1, 2, 3, 4, 6, 12, 6701, 13402, 20103, 26804, 40206

Step-4: Factors of 80430

List of positive integer factors of 80430 that divides 80412 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80412 and 80430. The biggest common factor number is the GCF number.
So the greatest common factor 80412 and 80430 is 6.

Also check out the Least Common Multiple of 80412 and 80430