What is the Greatest Common Factor of 97900 and 97911?

Greatest common factor (GCF) of 97900 and 97911 is 11.

GCF(97900,97911) = 11

We will now calculate the prime factors of 97900 and 97911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97900 and 97911.

How to find the GCF of 97900 and 97911?

We will first find the prime factorization of 97900 and 97911. After we will calculate the factors of 97900 and 97911 and find the biggest common factor number .

Step-1: Prime Factorization of 97900

Prime factors of 97900 are 2, 5, 11, 89. Prime factorization of 97900 in exponential form is:

97900 = 2² × 5² × 11¹ × 89¹

Step-2: Prime Factorization of 97911

Prime factors of 97911 are 3, 11, 23, 43. Prime factorization of 97911 in exponential form is:

97911 = 3² × 11¹ × 23¹ × 43¹

Step-3: Factors of 97900

List of positive integer factors of 97900 that divides 97900 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 89, 100, 110, 178, 220, 275, 356, 445, 550, 890, 979, 1100, 1780, 1958, 2225, 3916, 4450, 4895, 8900, 9790, 19580, 24475, 48950

Step-4: Factors of 97911

List of positive integer factors of 97911 that divides 97900 without a remainder.

1, 3, 9, 11, 23, 33, 43, 69, 99, 129, 207, 253, 387, 473, 759, 989, 1419, 2277, 2967, 4257, 8901, 10879, 32637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97900 and 97911. The biggest common factor number is the GCF number.
So the greatest common factor 97900 and 97911 is 11.

Also check out the Least Common Multiple of 97900 and 97911