What is the Greatest Common Factor of 8760 and 8770?

Greatest common factor (GCF) of 8760 and 8770 is 10.

GCF(8760,8770) = 10

We will now calculate the prime factors of 8760 and 8770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8760 and 8770.

How to find the GCF of 8760 and 8770?

We will first find the prime factorization of 8760 and 8770. After we will calculate the factors of 8760 and 8770 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 8770

Prime factors of 8770 are 2, 5, 877. Prime factorization of 8770 in exponential form is:

8770 = 2¹ × 5¹ × 877¹

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 8770

List of positive integer factors of 8770 that divides 8760 without a remainder.

1, 2, 5, 10, 877, 1754, 4385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8760 and 8770. The biggest common factor number is the GCF number.
So the greatest common factor 8760 and 8770 is 10.

Also check out the Least Common Multiple of 8760 and 8770