What is the Greatest Common Factor of 93753 and 93764?

Greatest common factor (GCF) of 93753 and 93764 is 11.

GCF(93753,93764) = 11

We will now calculate the prime factors of 93753 and 93764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93753 and 93764.

How to find the GCF of 93753 and 93764?

We will first find the prime factorization of 93753 and 93764. After we will calculate the factors of 93753 and 93764 and find the biggest common factor number .

Step-1: Prime Factorization of 93753

Prime factors of 93753 are 3, 11, 947. Prime factorization of 93753 in exponential form is:

93753 = 3² × 11¹ × 947¹

Step-2: Prime Factorization of 93764

Prime factors of 93764 are 2, 11, 2131. Prime factorization of 93764 in exponential form is:

93764 = 2² × 11¹ × 2131¹

Step-3: Factors of 93753

List of positive integer factors of 93753 that divides 93753 without a remainder.

1, 3, 9, 11, 33, 99, 947, 2841, 8523, 10417, 31251

Step-4: Factors of 93764

List of positive integer factors of 93764 that divides 93753 without a remainder.

1, 2, 4, 11, 22, 44, 2131, 4262, 8524, 23441, 46882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93753 and 93764. The biggest common factor number is the GCF number.
So the greatest common factor 93753 and 93764 is 11.

Also check out the Least Common Multiple of 93753 and 93764