What is the Greatest Common Factor of 60324 and 60334?

Greatest common factor (GCF) of 60324 and 60334 is 2.

GCF(60324,60334) = 2

We will now calculate the prime factors of 60324 and 60334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60324 and 60334.

How to find the GCF of 60324 and 60334?

We will first find the prime factorization of 60324 and 60334. After we will calculate the factors of 60324 and 60334 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 60334

Prime factors of 60334 are 2, 97, 311. Prime factorization of 60334 in exponential form is:

60334 = 2¹ × 97¹ × 311¹

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 60334

List of positive integer factors of 60334 that divides 60324 without a remainder.

1, 2, 97, 194, 311, 622, 30167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60324 and 60334. The biggest common factor number is the GCF number.
So the greatest common factor 60324 and 60334 is 2.

Also check out the Least Common Multiple of 60324 and 60334