What is the Greatest Common Factor of 97493 and 97504?

Greatest common factor (GCF) of 97493 and 97504 is 11.

GCF(97493,97504) = 11

We will now calculate the prime factors of 97493 and 97504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97493 and 97504.

How to find the GCF of 97493 and 97504?

We will first find the prime factorization of 97493 and 97504. After we will calculate the factors of 97493 and 97504 and find the biggest common factor number .

Step-1: Prime Factorization of 97493

Prime factors of 97493 are 11, 8863. Prime factorization of 97493 in exponential form is:

97493 = 11¹ × 8863¹

Step-2: 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-3: Factors of 97493

List of positive integer factors of 97493 that divides 97493 without a remainder.

1, 11, 8863

Step-4: Factors of 97504

List of positive integer factors of 97504 that divides 97493 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97493 and 97504. The biggest common factor number is the GCF number.
So the greatest common factor 97493 and 97504 is 11.

Also check out the Least Common Multiple of 97493 and 97504