What is the Greatest Common Factor of 97005 and 97023?

Greatest common factor (GCF) of 97005 and 97023 is 3.

GCF(97005,97023) = 3

We will now calculate the prime factors of 97005 and 97023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97005 and 97023.

How to find the GCF of 97005 and 97023?

We will first find the prime factorization of 97005 and 97023. After we will calculate the factors of 97005 and 97023 and find the biggest common factor number .

Step-1: Prime Factorization of 97005

Prime factors of 97005 are 3, 5, 29, 223. Prime factorization of 97005 in exponential form is:

97005 = 3¹ × 5¹ × 29¹ × 223¹

Step-2: Prime Factorization of 97023

Prime factors of 97023 are 3, 32341. Prime factorization of 97023 in exponential form is:

97023 = 3¹ × 32341¹

Step-3: Factors of 97005

List of positive integer factors of 97005 that divides 97005 without a remainder.

1, 3, 5, 15, 29, 87, 145, 223, 435, 669, 1115, 3345, 6467, 19401, 32335

Step-4: Factors of 97023

List of positive integer factors of 97023 that divides 97005 without a remainder.

1, 3, 32341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97005 and 97023. The biggest common factor number is the GCF number.
So the greatest common factor 97005 and 97023 is 3.

Also check out the Least Common Multiple of 97005 and 97023