What is the Greatest Common Factor of 60444 and 60458?

Greatest common factor (GCF) of 60444 and 60458 is 2.

GCF(60444,60458) = 2

We will now calculate the prime factors of 60444 and 60458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60444 and 60458.

How to find the GCF of 60444 and 60458?

We will first find the prime factorization of 60444 and 60458. After we will calculate the factors of 60444 and 60458 and find the biggest common factor number .

Step-1: Prime Factorization of 60444

Prime factors of 60444 are 2, 3, 23, 73. Prime factorization of 60444 in exponential form is:

60444 = 2² × 3² × 23¹ × 73¹

Step-2: Prime Factorization of 60458

Prime factors of 60458 are 2, 19, 37, 43. Prime factorization of 60458 in exponential form is:

60458 = 2¹ × 19¹ × 37¹ × 43¹

Step-3: Factors of 60444

List of positive integer factors of 60444 that divides 60444 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 73, 92, 138, 146, 207, 219, 276, 292, 414, 438, 657, 828, 876, 1314, 1679, 2628, 3358, 5037, 6716, 10074, 15111, 20148, 30222

Step-4: Factors of 60458

List of positive integer factors of 60458 that divides 60444 without a remainder.

1, 2, 19, 37, 38, 43, 74, 86, 703, 817, 1406, 1591, 1634, 3182, 30229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60444 and 60458. The biggest common factor number is the GCF number.
So the greatest common factor 60444 and 60458 is 2.

Also check out the Least Common Multiple of 60444 and 60458