What is the Greatest Common Factor of 97149 and 97159?

Greatest common factor (GCF) of 97149 and 97159 is 1.

GCF(97149,97159) = 1

We will now calculate the prime factors of 97149 and 97159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97149 and 97159.

How to find the GCF of 97149 and 97159?

We will first find the prime factorization of 97149 and 97159. After we will calculate the factors of 97149 and 97159 and find the biggest common factor number .

Step-1: Prime Factorization of 97149

Prime factors of 97149 are 3, 13, 47, 53. Prime factorization of 97149 in exponential form is:

97149 = 3¹ × 13¹ × 47¹ × 53¹

Step-2: Prime Factorization of 97159

Prime factors of 97159 are 97159. Prime factorization of 97159 in exponential form is:

97159 = 97159¹

Step-3: Factors of 97149

List of positive integer factors of 97149 that divides 97149 without a remainder.

1, 3, 13, 39, 47, 53, 141, 159, 611, 689, 1833, 2067, 2491, 7473, 32383

Step-4: Factors of 97159

List of positive integer factors of 97159 that divides 97149 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97149 and 97159. The biggest common factor number is the GCF number.
So the greatest common factor 97149 and 97159 is 1.

Also check out the Least Common Multiple of 97149 and 97159