What is the Greatest Common Factor of 59775 and 59787?

Greatest common factor (GCF) of 59775 and 59787 is 3.

GCF(59775,59787) = 3

We will now calculate the prime factors of 59775 and 59787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59775 and 59787.

How to find the GCF of 59775 and 59787?

We will first find the prime factorization of 59775 and 59787. After we will calculate the factors of 59775 and 59787 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 59787

Prime factors of 59787 are 3, 7, 13, 73. Prime factorization of 59787 in exponential form is:

59787 = 3² × 7¹ × 13¹ × 73¹

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 59787

List of positive integer factors of 59787 that divides 59775 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 73, 91, 117, 219, 273, 511, 657, 819, 949, 1533, 2847, 4599, 6643, 8541, 19929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59775 and 59787. The biggest common factor number is the GCF number.
So the greatest common factor 59775 and 59787 is 3.

Also check out the Least Common Multiple of 59775 and 59787