What is the Greatest Common Factor of 59775 and 59780?

Greatest common factor (GCF) of 59775 and 59780 is 5.

GCF(59775,59780) = 5

We will now calculate the prime factors of 59775 and 59780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59775 and 59780.

How to find the GCF of 59775 and 59780?

We will first find the prime factorization of 59775 and 59780. After we will calculate the factors of 59775 and 59780 and find the biggest common factor number .

Step-1: Prime Factorization of 59775

Prime factors of 59775 are 3, 5, 797. Prime factorization of 59775 in exponential form is:

59775 = 3¹ × 5² × 797¹

Step-2: 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-3: Factors of 59775

List of positive integer factors of 59775 that divides 59775 without a remainder.

1, 3, 5, 15, 25, 75, 797, 2391, 3985, 11955, 19925

Step-4: Factors of 59780

List of positive integer factors of 59780 that divides 59775 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59775 and 59780. The biggest common factor number is the GCF number.
So the greatest common factor 59775 and 59780 is 5.

Also check out the Least Common Multiple of 59775 and 59780