What is the Greatest Common Factor of 60354 and 60372?

Greatest common factor (GCF) of 60354 and 60372 is 18.

GCF(60354,60372) = 18

We will now calculate the prime factors of 60354 and 60372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60354 and 60372.

How to find the GCF of 60354 and 60372?

We will first find the prime factorization of 60354 and 60372. After we will calculate the factors of 60354 and 60372 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 60372

Prime factors of 60372 are 2, 3, 13, 43. Prime factorization of 60372 in exponential form is:

60372 = 2² × 3³ × 13¹ × 43¹

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 60372

List of positive integer factors of 60372 that divides 60354 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 43, 52, 54, 78, 86, 108, 117, 129, 156, 172, 234, 258, 351, 387, 468, 516, 559, 702, 774, 1118, 1161, 1404, 1548, 1677, 2236, 2322, 3354, 4644, 5031, 6708, 10062, 15093, 20124, 30186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60354 and 60372. The biggest common factor number is the GCF number.
So the greatest common factor 60354 and 60372 is 18.

Also check out the Least Common Multiple of 60354 and 60372