What is the Greatest Common Factor of 60564 and 60576?

Greatest common factor (GCF) of 60564 and 60576 is 12.

GCF(60564,60576) = 12

We will now calculate the prime factors of 60564 and 60576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60564 and 60576.

How to find the GCF of 60564 and 60576?

We will first find the prime factorization of 60564 and 60576. After we will calculate the factors of 60564 and 60576 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 60576

Prime factors of 60576 are 2, 3, 631. Prime factorization of 60576 in exponential form is:

60576 = 2⁵ × 3¹ × 631¹

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 60576

List of positive integer factors of 60576 that divides 60564 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 631, 1262, 1893, 2524, 3786, 5048, 7572, 10096, 15144, 20192, 30288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60564 and 60576. The biggest common factor number is the GCF number.
So the greatest common factor 60564 and 60576 is 12.

Also check out the Least Common Multiple of 60564 and 60576