What is the Greatest Common Factor of 59785 and 59796?

Greatest common factor (GCF) of 59785 and 59796 is 11.

GCF(59785,59796) = 11

We will now calculate the prime factors of 59785 and 59796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59785 and 59796.

How to find the GCF of 59785 and 59796?

We will first find the prime factorization of 59785 and 59796. After we will calculate the factors of 59785 and 59796 and find the biggest common factor number .

Step-1: Prime Factorization of 59785

Prime factors of 59785 are 5, 11, 1087. Prime factorization of 59785 in exponential form is:

59785 = 5¹ × 11¹ × 1087¹

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 59785

List of positive integer factors of 59785 that divides 59785 without a remainder.

1, 5, 11, 55, 1087, 5435, 11957

Step-4: Factors of 59796

List of positive integer factors of 59796 that divides 59785 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 59785 and 59796. The biggest common factor number is the GCF number.
So the greatest common factor 59785 and 59796 is 11.

Also check out the Least Common Multiple of 59785 and 59796