What is the Greatest Common Factor of 97712 and 97725?

Greatest common factor (GCF) of 97712 and 97725 is 1.

GCF(97712,97725) = 1

We will now calculate the prime factors of 97712 and 97725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97712 and 97725.

How to find the GCF of 97712 and 97725?

We will first find the prime factorization of 97712 and 97725. After we will calculate the factors of 97712 and 97725 and find the biggest common factor number .

Step-1: Prime Factorization of 97712

Prime factors of 97712 are 2, 31, 197. Prime factorization of 97712 in exponential form is:

97712 = 2⁴ × 31¹ × 197¹

Step-2: Prime Factorization of 97725

Prime factors of 97725 are 3, 5, 1303. Prime factorization of 97725 in exponential form is:

97725 = 3¹ × 5² × 1303¹

Step-3: Factors of 97712

List of positive integer factors of 97712 that divides 97712 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 197, 248, 394, 496, 788, 1576, 3152, 6107, 12214, 24428, 48856

Step-4: Factors of 97725

List of positive integer factors of 97725 that divides 97712 without a remainder.

1, 3, 5, 15, 25, 75, 1303, 3909, 6515, 19545, 32575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97712 and 97725. The biggest common factor number is the GCF number.
So the greatest common factor 97712 and 97725 is 1.

Also check out the Least Common Multiple of 97712 and 97725