What is the Greatest Common Factor of 97149 and 97161?

Greatest common factor (GCF) of 97149 and 97161 is 3.

GCF(97149,97161) = 3

We will now calculate the prime factors of 97149 and 97161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97149 and 97161.

How to find the GCF of 97149 and 97161?

We will first find the prime factorization of 97149 and 97161. After we will calculate the factors of 97149 and 97161 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 97161

Prime factors of 97161 are 3, 139, 233. Prime factorization of 97161 in exponential form is:

97161 = 3¹ × 139¹ × 233¹

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 97161

List of positive integer factors of 97161 that divides 97149 without a remainder.

1, 3, 139, 233, 417, 699, 32387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97149 and 97161. The biggest common factor number is the GCF number.
So the greatest common factor 97149 and 97161 is 3.

Also check out the Least Common Multiple of 97149 and 97161