What is the Greatest Common Factor of 97149 and 97162?

Greatest common factor (GCF) of 97149 and 97162 is 13.

GCF(97149,97162) = 13

We will now calculate the prime factors of 97149 and 97162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97149 and 97162.

How to find the GCF of 97149 and 97162?

We will first find the prime factorization of 97149 and 97162. After we will calculate the factors of 97149 and 97162 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 97162

Prime factors of 97162 are 2, 13, 37, 101. Prime factorization of 97162 in exponential form is:

97162 = 2¹ × 13¹ × 37¹ × 101¹

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 97162

List of positive integer factors of 97162 that divides 97149 without a remainder.

1, 2, 13, 26, 37, 74, 101, 202, 481, 962, 1313, 2626, 3737, 7474, 48581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97149 and 97162. The biggest common factor number is the GCF number.
So the greatest common factor 97149 and 97162 is 13.

Also check out the Least Common Multiple of 97149 and 97162