What is the Greatest Common Factor of 8760 and 8769?

Greatest common factor (GCF) of 8760 and 8769 is 3.

GCF(8760,8769) = 3

We will now calculate the prime factors of 8760 and 8769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8760 and 8769.

How to find the GCF of 8760 and 8769?

We will first find the prime factorization of 8760 and 8769. After we will calculate the factors of 8760 and 8769 and find the biggest common factor number .

Step-1: Prime Factorization of 8760

Prime factors of 8760 are 2, 3, 5, 73. Prime factorization of 8760 in exponential form is:

8760 = 2³ × 3¹ × 5¹ × 73¹

Step-2: Prime Factorization of 8769

Prime factors of 8769 are 3, 37, 79. Prime factorization of 8769 in exponential form is:

8769 = 3¹ × 37¹ × 79¹

Step-3: Factors of 8760

List of positive integer factors of 8760 that divides 8760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380

Step-4: Factors of 8769

List of positive integer factors of 8769 that divides 8760 without a remainder.

1, 3, 37, 79, 111, 237, 2923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8760 and 8769. The biggest common factor number is the GCF number.
So the greatest common factor 8760 and 8769 is 3.

Also check out the Least Common Multiple of 8760 and 8769