What is the Greatest Common Factor of 97892 and 97900?

Greatest common factor (GCF) of 97892 and 97900 is 4.

GCF(97892,97900) = 4

We will now calculate the prime factors of 97892 and 97900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97892 and 97900.

How to find the GCF of 97892 and 97900?

We will first find the prime factorization of 97892 and 97900. After we will calculate the factors of 97892 and 97900 and find the biggest common factor number .

Step-1: Prime Factorization of 97892

Prime factors of 97892 are 2, 24473. Prime factorization of 97892 in exponential form is:

97892 = 2² × 24473¹

Step-2: 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-3: Factors of 97892

List of positive integer factors of 97892 that divides 97892 without a remainder.

1, 2, 4, 24473, 48946

Step-4: Factors of 97900

List of positive integer factors of 97900 that divides 97892 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97892 and 97900. The biggest common factor number is the GCF number.
So the greatest common factor 97892 and 97900 is 4.

Also check out the Least Common Multiple of 97892 and 97900