What is the Greatest Common Factor of 59780 and 59790?

Greatest common factor (GCF) of 59780 and 59790 is 10.

GCF(59780,59790) = 10

We will now calculate the prime factors of 59780 and 59790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59780 and 59790.

How to find the GCF of 59780 and 59790?

We will first find the prime factorization of 59780 and 59790. After we will calculate the factors of 59780 and 59790 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 59790

Prime factors of 59790 are 2, 3, 5, 1993. Prime factorization of 59790 in exponential form is:

59790 = 2¹ × 3¹ × 5¹ × 1993¹

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 59790

List of positive integer factors of 59790 that divides 59780 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1993, 3986, 5979, 9965, 11958, 19930, 29895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59780 and 59790. The biggest common factor number is the GCF number.
So the greatest common factor 59780 and 59790 is 10.

Also check out the Least Common Multiple of 59780 and 59790