What is the Greatest Common Factor of 60423 and 60435?

Greatest common factor (GCF) of 60423 and 60435 is 3.

GCF(60423,60435) = 3

We will now calculate the prime factors of 60423 and 60435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60423 and 60435.

How to find the GCF of 60423 and 60435?

We will first find the prime factorization of 60423 and 60435. After we will calculate the factors of 60423 and 60435 and find the biggest common factor number .

Step-1: Prime Factorization of 60423

Prime factors of 60423 are 3, 11, 1831. Prime factorization of 60423 in exponential form is:

60423 = 3¹ × 11¹ × 1831¹

Step-2: 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-3: Factors of 60423

List of positive integer factors of 60423 that divides 60423 without a remainder.

1, 3, 11, 33, 1831, 5493, 20141

Step-4: Factors of 60435

List of positive integer factors of 60435 that divides 60423 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60423 and 60435. The biggest common factor number is the GCF number.
So the greatest common factor 60423 and 60435 is 3.

Also check out the Least Common Multiple of 60423 and 60435