What is the Greatest Common Factor of 95940 and 95957?

Greatest common factor (GCF) of 95940 and 95957 is 1.

GCF(95940,95957) = 1

We will now calculate the prime factors of 95940 and 95957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95940 and 95957.

How to find the GCF of 95940 and 95957?

We will first find the prime factorization of 95940 and 95957. After we will calculate the factors of 95940 and 95957 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95957

Prime factors of 95957 are 95957. Prime factorization of 95957 in exponential form is:

95957 = 95957¹

Step-3: Factors of 95940

List of positive integer factors of 95940 that divides 95940 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

Step-4: Factors of 95957

List of positive integer factors of 95957 that divides 95940 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95940 and 95957. The biggest common factor number is the GCF number.
So the greatest common factor 95940 and 95957 is 1.

Also check out the Least Common Multiple of 95940 and 95957