What is the Greatest Common Factor of 60324 and 60335?

Greatest common factor (GCF) of 60324 and 60335 is 11.

GCF(60324,60335) = 11

We will now calculate the prime factors of 60324 and 60335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60324 and 60335.

How to find the GCF of 60324 and 60335?

We will first find the prime factorization of 60324 and 60335. After we will calculate the factors of 60324 and 60335 and find the biggest common factor number .

Step-1: Prime Factorization of 60324

Prime factors of 60324 are 2, 3, 11, 457. Prime factorization of 60324 in exponential form is:

60324 = 2² × 3¹ × 11¹ × 457¹

Step-2: Prime Factorization of 60335

Prime factors of 60335 are 5, 11, 1097. Prime factorization of 60335 in exponential form is:

60335 = 5¹ × 11¹ × 1097¹

Step-3: Factors of 60324

List of positive integer factors of 60324 that divides 60324 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 457, 914, 1371, 1828, 2742, 5027, 5484, 10054, 15081, 20108, 30162

Step-4: Factors of 60335

List of positive integer factors of 60335 that divides 60324 without a remainder.

1, 5, 11, 55, 1097, 5485, 12067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60324 and 60335. The biggest common factor number is the GCF number.
So the greatest common factor 60324 and 60335 is 11.

Also check out the Least Common Multiple of 60324 and 60335