What is the Greatest Common Factor of 97261 and 97267?

Greatest common factor (GCF) of 97261 and 97267 is 1.

GCF(97261,97267) = 1

We will now calculate the prime factors of 97261 and 97267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97261 and 97267.

How to find the GCF of 97261 and 97267?

We will first find the prime factorization of 97261 and 97267. After we will calculate the factors of 97261 and 97267 and find the biggest common factor number .

Step-1: Prime Factorization of 97261

Prime factors of 97261 are 19, 5119. Prime factorization of 97261 in exponential form is:

97261 = 19¹ × 5119¹

Step-2: Prime Factorization of 97267

Prime factors of 97267 are 23, 4229. Prime factorization of 97267 in exponential form is:

97267 = 23¹ × 4229¹

Step-3: Factors of 97261

List of positive integer factors of 97261 that divides 97261 without a remainder.

1, 19, 5119

Step-4: Factors of 97267

List of positive integer factors of 97267 that divides 97261 without a remainder.

1, 23, 4229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97261 and 97267. The biggest common factor number is the GCF number.
So the greatest common factor 97261 and 97267 is 1.

Also check out the Least Common Multiple of 97261 and 97267