What is the Greatest Common Factor of 60564 and 60582?

Greatest common factor (GCF) of 60564 and 60582 is 6.

GCF(60564,60582) = 6

We will now calculate the prime factors of 60564 and 60582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60564 and 60582.

How to find the GCF of 60564 and 60582?

We will first find the prime factorization of 60564 and 60582. After we will calculate the factors of 60564 and 60582 and find the biggest common factor number .

Step-1: Prime Factorization of 60564

Prime factors of 60564 are 2, 3, 7, 103. Prime factorization of 60564 in exponential form is:

60564 = 2² × 3¹ × 7² × 103¹

Step-2: Prime Factorization of 60582

Prime factors of 60582 are 2, 3, 23, 439. Prime factorization of 60582 in exponential form is:

60582 = 2¹ × 3¹ × 23¹ × 439¹

Step-3: Factors of 60564

List of positive integer factors of 60564 that divides 60564 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 103, 147, 196, 206, 294, 309, 412, 588, 618, 721, 1236, 1442, 2163, 2884, 4326, 5047, 8652, 10094, 15141, 20188, 30282

Step-4: Factors of 60582

List of positive integer factors of 60582 that divides 60564 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 439, 878, 1317, 2634, 10097, 20194, 30291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60564 and 60582. The biggest common factor number is the GCF number.
So the greatest common factor 60564 and 60582 is 6.

Also check out the Least Common Multiple of 60564 and 60582