What is the Greatest Common Factor of 97504 and 97515?

Greatest common factor (GCF) of 97504 and 97515 is 11.

GCF(97504,97515) = 11

We will now calculate the prime factors of 97504 and 97515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97504 and 97515.

How to find the GCF of 97504 and 97515?

We will first find the prime factorization of 97504 and 97515. After we will calculate the factors of 97504 and 97515 and find the biggest common factor number .

Step-1: Prime Factorization of 97504

Prime factors of 97504 are 2, 11, 277. Prime factorization of 97504 in exponential form is:

97504 = 2⁵ × 11¹ × 277¹

Step-2: Prime Factorization of 97515

Prime factors of 97515 are 3, 5, 11, 197. Prime factorization of 97515 in exponential form is:

97515 = 3² × 5¹ × 11¹ × 197¹

Step-3: Factors of 97504

List of positive integer factors of 97504 that divides 97504 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 277, 352, 554, 1108, 2216, 3047, 4432, 6094, 8864, 12188, 24376, 48752

Step-4: Factors of 97515

List of positive integer factors of 97515 that divides 97504 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 197, 495, 591, 985, 1773, 2167, 2955, 6501, 8865, 10835, 19503, 32505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97504 and 97515. The biggest common factor number is the GCF number.
So the greatest common factor 97504 and 97515 is 11.

Also check out the Least Common Multiple of 97504 and 97515