What is the Greatest Common Factor of 97808 and 97825?

Greatest common factor (GCF) of 97808 and 97825 is 1.

GCF(97808,97825) = 1

We will now calculate the prime factors of 97808 and 97825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97808 and 97825.

How to find the GCF of 97808 and 97825?

We will first find the prime factorization of 97808 and 97825. After we will calculate the factors of 97808 and 97825 and find the biggest common factor number .

Step-1: Prime Factorization of 97808

Prime factors of 97808 are 2, 6113. Prime factorization of 97808 in exponential form is:

97808 = 2⁴ × 6113¹

Step-2: Prime Factorization of 97825

Prime factors of 97825 are 5, 7, 13, 43. Prime factorization of 97825 in exponential form is:

97825 = 5² × 7¹ × 13¹ × 43¹

Step-3: Factors of 97808

List of positive integer factors of 97808 that divides 97808 without a remainder.

1, 2, 4, 8, 16, 6113, 12226, 24452, 48904

Step-4: Factors of 97825

List of positive integer factors of 97825 that divides 97808 without a remainder.

1, 5, 7, 13, 25, 35, 43, 65, 91, 175, 215, 301, 325, 455, 559, 1075, 1505, 2275, 2795, 3913, 7525, 13975, 19565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97808 and 97825. The biggest common factor number is the GCF number.
So the greatest common factor 97808 and 97825 is 1.

Also check out the Least Common Multiple of 97808 and 97825