What is the Greatest Common Factor of 83760 and 83773?

Greatest common factor (GCF) of 83760 and 83773 is 1.

GCF(83760,83773) = 1

We will now calculate the prime factors of 83760 and 83773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83760 and 83773.

How to find the GCF of 83760 and 83773?

We will first find the prime factorization of 83760 and 83773. After we will calculate the factors of 83760 and 83773 and find the biggest common factor number .

Step-1: Prime Factorization of 83760

Prime factors of 83760 are 2, 3, 5, 349. Prime factorization of 83760 in exponential form is:

83760 = 2⁴ × 3¹ × 5¹ × 349¹

Step-2: Prime Factorization of 83773

Prime factors of 83773 are 83773. Prime factorization of 83773 in exponential form is:

83773 = 83773¹

Step-3: Factors of 83760

List of positive integer factors of 83760 that divides 83760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 349, 698, 1047, 1396, 1745, 2094, 2792, 3490, 4188, 5235, 5584, 6980, 8376, 10470, 13960, 16752, 20940, 27920, 41880

Step-4: Factors of 83773

List of positive integer factors of 83773 that divides 83760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83760 and 83773. The biggest common factor number is the GCF number.
So the greatest common factor 83760 and 83773 is 1.

Also check out the Least Common Multiple of 83760 and 83773