What is the Greatest Common Factor of 88769 and 88780?

Greatest common factor (GCF) of 88769 and 88780 is 1.

GCF(88769,88780) = 1

We will now calculate the prime factors of 88769 and 88780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88769 and 88780.

How to find the GCF of 88769 and 88780?

We will first find the prime factorization of 88769 and 88780. After we will calculate the factors of 88769 and 88780 and find the biggest common factor number .

Step-1: Prime Factorization of 88769

Prime factors of 88769 are 29, 3061. Prime factorization of 88769 in exponential form is:

88769 = 29¹ × 3061¹

Step-2: Prime Factorization of 88780

Prime factors of 88780 are 2, 5, 23, 193. Prime factorization of 88780 in exponential form is:

88780 = 2² × 5¹ × 23¹ × 193¹

Step-3: Factors of 88769

List of positive integer factors of 88769 that divides 88769 without a remainder.

1, 29, 3061

Step-4: Factors of 88780

List of positive integer factors of 88780 that divides 88769 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 193, 230, 386, 460, 772, 965, 1930, 3860, 4439, 8878, 17756, 22195, 44390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88769 and 88780. The biggest common factor number is the GCF number.
So the greatest common factor 88769 and 88780 is 1.

Also check out the Least Common Multiple of 88769 and 88780