What is the Greatest Common Factor of 95925 and 95940?

Greatest common factor (GCF) of 95925 and 95940 is 15.

GCF(95925,95940) = 15

We will now calculate the prime factors of 95925 and 95940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95925 and 95940.

How to find the GCF of 95925 and 95940?

We will first find the prime factorization of 95925 and 95940. After we will calculate the factors of 95925 and 95940 and find the biggest common factor number .

Step-1: Prime Factorization of 95925

Prime factors of 95925 are 3, 5, 1279. Prime factorization of 95925 in exponential form is:

95925 = 3¹ × 5² × 1279¹

Step-2: Prime Factorization of 95940

Prime factors of 95940 are 2, 3, 5, 13, 41. Prime factorization of 95940 in exponential form is:

95940 = 2² × 3² × 5¹ × 13¹ × 41¹

Step-3: Factors of 95925

List of positive integer factors of 95925 that divides 95925 without a remainder.

1, 3, 5, 15, 25, 75, 1279, 3837, 6395, 19185, 31975

Step-4: Factors of 95940

List of positive integer factors of 95940 that divides 95925 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 41, 45, 52, 60, 65, 78, 82, 90, 117, 123, 130, 156, 164, 180, 195, 205, 234, 246, 260, 369, 390, 410, 468, 492, 533, 585, 615, 738, 780, 820, 1066, 1170, 1230, 1476, 1599, 1845, 2132, 2340, 2460, 2665, 3198, 3690, 4797, 5330, 6396, 7380, 7995, 9594, 10660, 15990, 19188, 23985, 31980, 47970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95925 and 95940. The biggest common factor number is the GCF number.
So the greatest common factor 95925 and 95940 is 15.

Also check out the Least Common Multiple of 95925 and 95940