What is the Greatest Common Factor of 59781 and 59787?

Greatest common factor (GCF) of 59781 and 59787 is 3.

GCF(59781,59787) = 3

We will now calculate the prime factors of 59781 and 59787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59781 and 59787.

How to find the GCF of 59781 and 59787?

We will first find the prime factorization of 59781 and 59787. After we will calculate the factors of 59781 and 59787 and find the biggest common factor number .

Step-1: Prime Factorization of 59781

Prime factors of 59781 are 3, 19927. Prime factorization of 59781 in exponential form is:

59781 = 3¹ × 19927¹

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 59781

List of positive integer factors of 59781 that divides 59781 without a remainder.

1, 3, 19927

Step-4: Factors of 59787

List of positive integer factors of 59787 that divides 59781 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 59781 and 59787. The biggest common factor number is the GCF number.
So the greatest common factor 59781 and 59787 is 3.

Also check out the Least Common Multiple of 59781 and 59787