What is the Greatest Common Factor of 60435 and 60447?

Greatest common factor (GCF) of 60435 and 60447 is 3.

GCF(60435,60447) = 3

We will now calculate the prime factors of 60435 and 60447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60435 and 60447.

How to find the GCF of 60435 and 60447?

We will first find the prime factorization of 60435 and 60447. After we will calculate the factors of 60435 and 60447 and find the biggest common factor number .

Step-1: Prime Factorization of 60435

Prime factors of 60435 are 3, 5, 17, 79. Prime factorization of 60435 in exponential form is:

60435 = 3² × 5¹ × 17¹ × 79¹

Step-2: Prime Factorization of 60447

Prime factors of 60447 are 3, 20149. Prime factorization of 60447 in exponential form is:

60447 = 3¹ × 20149¹

Step-3: Factors of 60435

List of positive integer factors of 60435 that divides 60435 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 79, 85, 153, 237, 255, 395, 711, 765, 1185, 1343, 3555, 4029, 6715, 12087, 20145

Step-4: Factors of 60447

List of positive integer factors of 60447 that divides 60435 without a remainder.

1, 3, 20149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60435 and 60447. The biggest common factor number is the GCF number.
So the greatest common factor 60435 and 60447 is 3.

Also check out the Least Common Multiple of 60435 and 60447