What is the Greatest Common Factor of 8820 and 8834?

Greatest common factor (GCF) of 8820 and 8834 is 14.

GCF(8820,8834) = 14

We will now calculate the prime factors of 8820 and 8834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8820 and 8834.

How to find the GCF of 8820 and 8834?

We will first find the prime factorization of 8820 and 8834. After we will calculate the factors of 8820 and 8834 and find the biggest common factor number .

Step-1: Prime Factorization of 8820

Prime factors of 8820 are 2, 3, 5, 7. Prime factorization of 8820 in exponential form is:

8820 = 2² × 3² × 5¹ × 7²

Step-2: Prime Factorization of 8834

Prime factors of 8834 are 2, 7, 631. Prime factorization of 8834 in exponential form is:

8834 = 2¹ × 7¹ × 631¹

Step-3: Factors of 8820

List of positive integer factors of 8820 that divides 8820 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410

Step-4: Factors of 8834

List of positive integer factors of 8834 that divides 8820 without a remainder.

1, 2, 7, 14, 631, 1262, 4417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8820 and 8834. The biggest common factor number is the GCF number.
So the greatest common factor 8820 and 8834 is 14.

Also check out the Least Common Multiple of 8820 and 8834