What is the Greatest Common Factor of 8749 and 8760?

Greatest common factor (GCF) of 8749 and 8760 is 1.

GCF(8749,8760) = 1

We will now calculate the prime factors of 8749 and 8760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8749 and 8760.

How to find the GCF of 8749 and 8760?

We will first find the prime factorization of 8749 and 8760. After we will calculate the factors of 8749 and 8760 and find the biggest common factor number .

Step-1: Prime Factorization of 8749

Prime factors of 8749 are 13, 673. Prime factorization of 8749 in exponential form is:

8749 = 13¹ × 673¹

Step-2: 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-3: Factors of 8749

List of positive integer factors of 8749 that divides 8749 without a remainder.

1, 13, 673

Step-4: Factors of 8760

List of positive integer factors of 8760 that divides 8749 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8749 and 8760. The biggest common factor number is the GCF number.
So the greatest common factor 8749 and 8760 is 1.

Also check out the Least Common Multiple of 8749 and 8760