What is the Greatest Common Factor of 59772 and 59784?

Greatest common factor (GCF) of 59772 and 59784 is 12.

GCF(59772,59784) = 12

We will now calculate the prime factors of 59772 and 59784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59772 and 59784.

How to find the GCF of 59772 and 59784?

We will first find the prime factorization of 59772 and 59784. After we will calculate the factors of 59772 and 59784 and find the biggest common factor number .

Step-1: Prime Factorization of 59772

Prime factors of 59772 are 2, 3, 17, 293. Prime factorization of 59772 in exponential form is:

59772 = 2² × 3¹ × 17¹ × 293¹

Step-2: Prime Factorization of 59784

Prime factors of 59784 are 2, 3, 47, 53. Prime factorization of 59784 in exponential form is:

59784 = 2³ × 3¹ × 47¹ × 53¹

Step-3: Factors of 59772

List of positive integer factors of 59772 that divides 59772 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 293, 586, 879, 1172, 1758, 3516, 4981, 9962, 14943, 19924, 29886

Step-4: Factors of 59784

List of positive integer factors of 59784 that divides 59772 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 53, 94, 106, 141, 159, 188, 212, 282, 318, 376, 424, 564, 636, 1128, 1272, 2491, 4982, 7473, 9964, 14946, 19928, 29892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59772 and 59784. The biggest common factor number is the GCF number.
So the greatest common factor 59772 and 59784 is 12.

Also check out the Least Common Multiple of 59772 and 59784