What is the Greatest Common Factor of 8892 and 8900?

Greatest common factor (GCF) of 8892 and 8900 is 4.

GCF(8892,8900) = 4

We will now calculate the prime factors of 8892 and 8900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8892 and 8900.

How to find the GCF of 8892 and 8900?

We will first find the prime factorization of 8892 and 8900. After we will calculate the factors of 8892 and 8900 and find the biggest common factor number .

Step-1: Prime Factorization of 8892

Prime factors of 8892 are 2, 3, 13, 19. Prime factorization of 8892 in exponential form is:

8892 = 2² × 3² × 13¹ × 19¹

Step-2: Prime Factorization of 8900

Prime factors of 8900 are 2, 5, 89. Prime factorization of 8900 in exponential form is:

8900 = 2² × 5² × 89¹

Step-3: Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446

Step-4: Factors of 8900

List of positive integer factors of 8900 that divides 8892 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8892 and 8900. The biggest common factor number is the GCF number.
So the greatest common factor 8892 and 8900 is 4.

Also check out the Least Common Multiple of 8892 and 8900