What is the Greatest Common Factor of 95940 and 95953?

Greatest common factor (GCF) of 95940 and 95953 is 13.

GCF(95940,95953) = 13

We will now calculate the prime factors of 95940 and 95953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95940 and 95953.

How to find the GCF of 95940 and 95953?

We will first find the prime factorization of 95940 and 95953. After we will calculate the factors of 95940 and 95953 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 95953

Prime factors of 95953 are 11, 13, 61. Prime factorization of 95953 in exponential form is:

95953 = 11² × 13¹ × 61¹

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 95953

List of positive integer factors of 95953 that divides 95940 without a remainder.

1, 11, 13, 61, 121, 143, 671, 793, 1573, 7381, 8723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95940 and 95953. The biggest common factor number is the GCF number.
So the greatest common factor 95940 and 95953 is 13.

Also check out the Least Common Multiple of 95940 and 95953