What is the Greatest Common Factor of 87760 and 87773?

Greatest common factor (GCF) of 87760 and 87773 is 1.

GCF(87760,87773) = 1

We will now calculate the prime factors of 87760 and 87773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87760 and 87773.

How to find the GCF of 87760 and 87773?

We will first find the prime factorization of 87760 and 87773. After we will calculate the factors of 87760 and 87773 and find the biggest common factor number .

Step-1: Prime Factorization of 87760

Prime factors of 87760 are 2, 5, 1097. Prime factorization of 87760 in exponential form is:

87760 = 2⁴ × 5¹ × 1097¹

Step-2: Prime Factorization of 87773

Prime factors of 87773 are 7, 12539. Prime factorization of 87773 in exponential form is:

87773 = 7¹ × 12539¹

Step-3: Factors of 87760

List of positive integer factors of 87760 that divides 87760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1097, 2194, 4388, 5485, 8776, 10970, 17552, 21940, 43880

Step-4: Factors of 87773

List of positive integer factors of 87773 that divides 87760 without a remainder.

1, 7, 12539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87760 and 87773. The biggest common factor number is the GCF number.
So the greatest common factor 87760 and 87773 is 1.

Also check out the Least Common Multiple of 87760 and 87773