What is the Greatest Common Factor of 97146 and 97154?

Greatest common factor (GCF) of 97146 and 97154 is 2.

GCF(97146,97154) = 2

We will now calculate the prime factors of 97146 and 97154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97146 and 97154.

How to find the GCF of 97146 and 97154?

We will first find the prime factorization of 97146 and 97154. After we will calculate the factors of 97146 and 97154 and find the biggest common factor number .

Step-1: Prime Factorization of 97146

Prime factors of 97146 are 2, 3, 7, 257. Prime factorization of 97146 in exponential form is:

97146 = 2¹ × 3³ × 7¹ × 257¹

Step-2: Prime Factorization of 97154

Prime factors of 97154 are 2, 31, 1567. Prime factorization of 97154 in exponential form is:

97154 = 2¹ × 31¹ × 1567¹

Step-3: Factors of 97146

List of positive integer factors of 97146 that divides 97146 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 257, 378, 514, 771, 1542, 1799, 2313, 3598, 4626, 5397, 6939, 10794, 13878, 16191, 32382, 48573

Step-4: Factors of 97154

List of positive integer factors of 97154 that divides 97146 without a remainder.

1, 2, 31, 62, 1567, 3134, 48577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97146 and 97154. The biggest common factor number is the GCF number.
So the greatest common factor 97146 and 97154 is 2.

Also check out the Least Common Multiple of 97146 and 97154