What is the Greatest Common Factor of 59787 and 59794?

Greatest common factor (GCF) of 59787 and 59794 is 7.

GCF(59787,59794) = 7

We will now calculate the prime factors of 59787 and 59794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59787 and 59794.

How to find the GCF of 59787 and 59794?

We will first find the prime factorization of 59787 and 59794. After we will calculate the factors of 59787 and 59794 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59794

Prime factors of 59794 are 2, 7, 4271. Prime factorization of 59794 in exponential form is:

59794 = 2¹ × 7¹ × 4271¹

Step-3: Factors of 59787

List of positive integer factors of 59787 that divides 59787 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

Step-4: Factors of 59794

List of positive integer factors of 59794 that divides 59787 without a remainder.

1, 2, 7, 14, 4271, 8542, 29897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59787 and 59794. The biggest common factor number is the GCF number.
So the greatest common factor 59787 and 59794 is 7.

Also check out the Least Common Multiple of 59787 and 59794