What is the Greatest Common Factor of 59780 and 59798?

Greatest common factor (GCF) of 59780 and 59798 is 2.

GCF(59780,59798) = 2

We will now calculate the prime factors of 59780 and 59798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59780 and 59798.

How to find the GCF of 59780 and 59798?

We will first find the prime factorization of 59780 and 59798. After we will calculate the factors of 59780 and 59798 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 59798

Prime factors of 59798 are 2, 29, 1031. Prime factorization of 59798 in exponential form is:

59798 = 2¹ × 29¹ × 1031¹

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 59798

List of positive integer factors of 59798 that divides 59780 without a remainder.

1, 2, 29, 58, 1031, 2062, 29899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59780 and 59798. The biggest common factor number is the GCF number.
So the greatest common factor 59780 and 59798 is 2.

Also check out the Least Common Multiple of 59780 and 59798