What is the Greatest Common Factor of 97075 and 97088?

Greatest common factor (GCF) of 97075 and 97088 is 1.

GCF(97075,97088) = 1

We will now calculate the prime factors of 97075 and 97088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97075 and 97088.

How to find the GCF of 97075 and 97088?

We will first find the prime factorization of 97075 and 97088. After we will calculate the factors of 97075 and 97088 and find the biggest common factor number .

Step-1: Prime Factorization of 97075

Prime factors of 97075 are 5, 11, 353. Prime factorization of 97075 in exponential form is:

97075 = 5² × 11¹ × 353¹

Step-2: Prime Factorization of 97088

Prime factors of 97088 are 2, 37, 41. Prime factorization of 97088 in exponential form is:

97088 = 2⁶ × 37¹ × 41¹

Step-3: Factors of 97075

List of positive integer factors of 97075 that divides 97075 without a remainder.

1, 5, 11, 25, 55, 275, 353, 1765, 3883, 8825, 19415

Step-4: Factors of 97088

List of positive integer factors of 97088 that divides 97075 without a remainder.

1, 2, 4, 8, 16, 32, 37, 41, 64, 74, 82, 148, 164, 296, 328, 592, 656, 1184, 1312, 1517, 2368, 2624, 3034, 6068, 12136, 24272, 48544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97075 and 97088. The biggest common factor number is the GCF number.
So the greatest common factor 97075 and 97088 is 1.

Also check out the Least Common Multiple of 97075 and 97088