What is the Greatest Common Factor of 97900 and 97915?

Greatest common factor (GCF) of 97900 and 97915 is 5.

GCF(97900,97915) = 5

We will now calculate the prime factors of 97900 and 97915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97900 and 97915.

How to find the GCF of 97900 and 97915?

We will first find the prime factorization of 97900 and 97915. After we will calculate the factors of 97900 and 97915 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 97915

Prime factors of 97915 are 5, 19583. Prime factorization of 97915 in exponential form is:

97915 = 5¹ × 19583¹

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 97915

List of positive integer factors of 97915 that divides 97900 without a remainder.

1, 5, 19583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97900 and 97915. The biggest common factor number is the GCF number.
So the greatest common factor 97900 and 97915 is 5.

Also check out the Least Common Multiple of 97900 and 97915