What is the Greatest Common Factor of 8840 and 8857?

Greatest common factor (GCF) of 8840 and 8857 is 17.

GCF(8840,8857) = 17

We will now calculate the prime factors of 8840 and 8857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8840 and 8857.

How to find the GCF of 8840 and 8857?

We will first find the prime factorization of 8840 and 8857. After we will calculate the factors of 8840 and 8857 and find the biggest common factor number .

Step-1: Prime Factorization of 8840

Prime factors of 8840 are 2, 5, 13, 17. Prime factorization of 8840 in exponential form is:

8840 = 2³ × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 8857

Prime factors of 8857 are 17, 521. Prime factorization of 8857 in exponential form is:

8857 = 17¹ × 521¹

Step-3: Factors of 8840

List of positive integer factors of 8840 that divides 8840 without a remainder.

1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420

Step-4: Factors of 8857

List of positive integer factors of 8857 that divides 8840 without a remainder.

1, 17, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8840 and 8857. The biggest common factor number is the GCF number.
So the greatest common factor 8840 and 8857 is 17.

Also check out the Least Common Multiple of 8840 and 8857