What is the Greatest Common Factor of 59784 and 59796?

Greatest common factor (GCF) of 59784 and 59796 is 12.

GCF(59784,59796) = 12

We will now calculate the prime factors of 59784 and 59796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59784 and 59796.

How to find the GCF of 59784 and 59796?

We will first find the prime factorization of 59784 and 59796. After we will calculate the factors of 59784 and 59796 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59796

Prime factors of 59796 are 2, 3, 11, 151. Prime factorization of 59796 in exponential form is:

59796 = 2² × 3² × 11¹ × 151¹

Step-3: Factors of 59784

List of positive integer factors of 59784 that divides 59784 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

Step-4: Factors of 59796

List of positive integer factors of 59796 that divides 59784 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 151, 198, 302, 396, 453, 604, 906, 1359, 1661, 1812, 2718, 3322, 4983, 5436, 6644, 9966, 14949, 19932, 29898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59784 and 59796. The biggest common factor number is the GCF number.
So the greatest common factor 59784 and 59796 is 12.

Also check out the Least Common Multiple of 59784 and 59796