What is the Greatest Common Factor of 30341 and 30360?

Greatest common factor (GCF) of 30341 and 30360 is 1.

GCF(30341,30360) = 1

We will now calculate the prime factors of 30341 and 30360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30341 and 30360.

How to find the GCF of 30341 and 30360?

We will first find the prime factorization of 30341 and 30360. After we will calculate the factors of 30341 and 30360 and find the biggest common factor number .

Step-1: Prime Factorization of 30341

Prime factors of 30341 are 30341. Prime factorization of 30341 in exponential form is:

30341 = 30341¹

Step-2: Prime Factorization of 30360

Prime factors of 30360 are 2, 3, 5, 11, 23. Prime factorization of 30360 in exponential form is:

30360 = 2³ × 3¹ × 5¹ × 11¹ × 23¹

Step-3: Factors of 30341

List of positive integer factors of 30341 that divides 30341 without a remainder.

Step-4: Factors of 30360

List of positive integer factors of 30360 that divides 30341 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 23, 24, 30, 33, 40, 44, 46, 55, 60, 66, 69, 88, 92, 110, 115, 120, 132, 138, 165, 184, 220, 230, 253, 264, 276, 330, 345, 440, 460, 506, 552, 660, 690, 759, 920, 1012, 1265, 1320, 1380, 1518, 2024, 2530, 2760, 3036, 3795, 5060, 6072, 7590, 10120, 15180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30341 and 30360. The biggest common factor number is the GCF number.
So the greatest common factor 30341 and 30360 is 1.

Also check out the Least Common Multiple of 30341 and 30360