What is the Greatest Common Factor of 88760 and 88777?

Greatest common factor (GCF) of 88760 and 88777 is 1.

GCF(88760,88777) = 1

We will now calculate the prime factors of 88760 and 88777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88760 and 88777.

How to find the GCF of 88760 and 88777?

We will first find the prime factorization of 88760 and 88777. After we will calculate the factors of 88760 and 88777 and find the biggest common factor number .

Step-1: Prime Factorization of 88760

Prime factors of 88760 are 2, 5, 7, 317. Prime factorization of 88760 in exponential form is:

88760 = 2³ × 5¹ × 7¹ × 317¹

Step-2: Prime Factorization of 88777

Prime factors of 88777 are 13, 6829. Prime factorization of 88777 in exponential form is:

88777 = 13¹ × 6829¹

Step-3: Factors of 88760

List of positive integer factors of 88760 that divides 88760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 317, 634, 1268, 1585, 2219, 2536, 3170, 4438, 6340, 8876, 11095, 12680, 17752, 22190, 44380

Step-4: Factors of 88777

List of positive integer factors of 88777 that divides 88760 without a remainder.

1, 13, 6829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88760 and 88777. The biggest common factor number is the GCF number.
So the greatest common factor 88760 and 88777 is 1.

Also check out the Least Common Multiple of 88760 and 88777