What is the Greatest Common Factor of 97005 and 97021?

Greatest common factor (GCF) of 97005 and 97021 is 1.

GCF(97005,97021) = 1

We will now calculate the prime factors of 97005 and 97021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97005 and 97021.

How to find the GCF of 97005 and 97021?

We will first find the prime factorization of 97005 and 97021. After we will calculate the factors of 97005 and 97021 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 97021

Prime factors of 97021 are 97021. Prime factorization of 97021 in exponential form is:

97021 = 97021¹

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 97021

List of positive integer factors of 97021 that divides 97005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97005 and 97021. The biggest common factor number is the GCF number.
So the greatest common factor 97005 and 97021 is 1.

Also check out the Least Common Multiple of 97005 and 97021