What is the Greatest Common Factor of 59780 and 59796?

Greatest common factor (GCF) of 59780 and 59796 is 4.

GCF(59780,59796) = 4

We will now calculate the prime factors of 59780 and 59796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59780 and 59796.

How to find the GCF of 59780 and 59796?

We will first find the prime factorization of 59780 and 59796. After we will calculate the factors of 59780 and 59796 and find the biggest common factor number .

Step-1: Prime Factorization of 59780

Prime factors of 59780 are 2, 5, 7, 61. Prime factorization of 59780 in exponential form is:

59780 = 2² × 5¹ × 7² × 61¹

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 59780

List of positive integer factors of 59780 that divides 59780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 61, 70, 98, 122, 140, 196, 244, 245, 305, 427, 490, 610, 854, 980, 1220, 1708, 2135, 2989, 4270, 5978, 8540, 11956, 14945, 29890

Step-4: Factors of 59796

List of positive integer factors of 59796 that divides 59780 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 59780 and 59796. The biggest common factor number is the GCF number.
So the greatest common factor 59780 and 59796 is 4.

Also check out the Least Common Multiple of 59780 and 59796