What is the Greatest Common Factor of 59780 and 59795?

Greatest common factor (GCF) of 59780 and 59795 is 5.

GCF(59780,59795) = 5

We will now calculate the prime factors of 59780 and 59795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59780 and 59795.

How to find the GCF of 59780 and 59795?

We will first find the prime factorization of 59780 and 59795. After we will calculate the factors of 59780 and 59795 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 59795

Prime factors of 59795 are 5, 11959. Prime factorization of 59795 in exponential form is:

59795 = 5¹ × 11959¹

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 59795

List of positive integer factors of 59795 that divides 59780 without a remainder.

1, 5, 11959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59780 and 59795. The biggest common factor number is the GCF number.
So the greatest common factor 59780 and 59795 is 5.

Also check out the Least Common Multiple of 59780 and 59795