What is the Greatest Common Factor of 97725 and 97740?

Greatest common factor (GCF) of 97725 and 97740 is 15.

GCF(97725,97740) = 15

We will now calculate the prime factors of 97725 and 97740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97725 and 97740.

How to find the GCF of 97725 and 97740?

We will first find the prime factorization of 97725 and 97740. After we will calculate the factors of 97725 and 97740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97740

Prime factors of 97740 are 2, 3, 5, 181. Prime factorization of 97740 in exponential form is:

97740 = 2² × 3³ × 5¹ × 181¹

Step-3: Factors of 97725

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

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

Step-4: Factors of 97740

List of positive integer factors of 97740 that divides 97725 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 181, 270, 362, 540, 543, 724, 905, 1086, 1629, 1810, 2172, 2715, 3258, 3620, 4887, 5430, 6516, 8145, 9774, 10860, 16290, 19548, 24435, 32580, 48870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97725 and 97740. The biggest common factor number is the GCF number.
So the greatest common factor 97725 and 97740 is 15.

Also check out the Least Common Multiple of 97725 and 97740