What is the Greatest Common Factor of 60354 and 60368?

Greatest common factor (GCF) of 60354 and 60368 is 14.

GCF(60354,60368) = 14

We will now calculate the prime factors of 60354 and 60368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60354 and 60368.

How to find the GCF of 60354 and 60368?

We will first find the prime factorization of 60354 and 60368. After we will calculate the factors of 60354 and 60368 and find the biggest common factor number .

Step-1: Prime Factorization of 60354

Prime factors of 60354 are 2, 3, 7, 479. Prime factorization of 60354 in exponential form is:

60354 = 2¹ × 3² × 7¹ × 479¹

Step-2: Prime Factorization of 60368

Prime factors of 60368 are 2, 7, 11. Prime factorization of 60368 in exponential form is:

60368 = 2⁴ × 7³ × 11¹

Step-3: Factors of 60354

List of positive integer factors of 60354 that divides 60354 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 479, 958, 1437, 2874, 3353, 4311, 6706, 8622, 10059, 20118, 30177

Step-4: Factors of 60368

List of positive integer factors of 60368 that divides 60354 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 343, 392, 539, 616, 686, 784, 1078, 1232, 1372, 2156, 2744, 3773, 4312, 5488, 7546, 8624, 15092, 30184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60354 and 60368. The biggest common factor number is the GCF number.
So the greatest common factor 60354 and 60368 is 14.

Also check out the Least Common Multiple of 60354 and 60368