What is the Greatest Common Factor of 8827 and 8840?

Greatest common factor (GCF) of 8827 and 8840 is 13.

GCF(8827,8840) = 13

We will now calculate the prime factors of 8827 and 8840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8827 and 8840.

How to find the GCF of 8827 and 8840?

We will first find the prime factorization of 8827 and 8840. After we will calculate the factors of 8827 and 8840 and find the biggest common factor number .

Step-1: Prime Factorization of 8827

Prime factors of 8827 are 7, 13, 97. Prime factorization of 8827 in exponential form is:

8827 = 7¹ × 13¹ × 97¹

Step-2: 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-3: Factors of 8827

List of positive integer factors of 8827 that divides 8827 without a remainder.

1, 7, 13, 91, 97, 679, 1261

Step-4: Factors of 8840

List of positive integer factors of 8840 that divides 8827 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8827 and 8840. The biggest common factor number is the GCF number.
So the greatest common factor 8827 and 8840 is 13.

Also check out the Least Common Multiple of 8827 and 8840