What is the Greatest Common Factor of 97162 and 97175?

Greatest common factor (GCF) of 97162 and 97175 is 13.

GCF(97162,97175) = 13

We will now calculate the prime factors of 97162 and 97175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97162 and 97175.

How to find the GCF of 97162 and 97175?

We will first find the prime factorization of 97162 and 97175. After we will calculate the factors of 97162 and 97175 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97175

Prime factors of 97175 are 5, 13, 23. Prime factorization of 97175 in exponential form is:

97175 = 5² × 13² × 23¹

Step-3: Factors of 97162

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

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

Step-4: Factors of 97175

List of positive integer factors of 97175 that divides 97162 without a remainder.

1, 5, 13, 23, 25, 65, 115, 169, 299, 325, 575, 845, 1495, 3887, 4225, 7475, 19435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97162 and 97175. The biggest common factor number is the GCF number.
So the greatest common factor 97162 and 97175 is 13.

Also check out the Least Common Multiple of 97162 and 97175