What is the Greatest Common Factor of 97276 and 97280?

Greatest common factor (GCF) of 97276 and 97280 is 4.

GCF(97276,97280) = 4

We will now calculate the prime factors of 97276 and 97280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97276 and 97280.

How to find the GCF of 97276 and 97280?

We will first find the prime factorization of 97276 and 97280. After we will calculate the factors of 97276 and 97280 and find the biggest common factor number .

Step-1: Prime Factorization of 97276

Prime factors of 97276 are 2, 83, 293. Prime factorization of 97276 in exponential form is:

97276 = 2² × 83¹ × 293¹

Step-2: Prime Factorization of 97280

Prime factors of 97280 are 2, 5, 19. Prime factorization of 97280 in exponential form is:

97280 = 2¹⁰ × 5¹ × 19¹

Step-3: Factors of 97276

List of positive integer factors of 97276 that divides 97276 without a remainder.

1, 2, 4, 83, 166, 293, 332, 586, 1172, 24319, 48638

Step-4: Factors of 97280

List of positive integer factors of 97280 that divides 97276 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 128, 152, 160, 190, 256, 304, 320, 380, 512, 608, 640, 760, 1024, 1216, 1280, 1520, 2432, 2560, 3040, 4864, 5120, 6080, 9728, 12160, 19456, 24320, 48640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97276 and 97280. The biggest common factor number is the GCF number.
So the greatest common factor 97276 and 97280 is 4.

Also check out the Least Common Multiple of 97276 and 97280