What is the Greatest Common Factor of 95880 and 95892?

Greatest common factor (GCF) of 95880 and 95892 is 12.

GCF(95880,95892) = 12

We will now calculate the prime factors of 95880 and 95892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95880 and 95892.

How to find the GCF of 95880 and 95892?

We will first find the prime factorization of 95880 and 95892. After we will calculate the factors of 95880 and 95892 and find the biggest common factor number .

Step-1: Prime Factorization of 95880

Prime factors of 95880 are 2, 3, 5, 17, 47. Prime factorization of 95880 in exponential form is:

95880 = 2³ × 3¹ × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 95892

Prime factors of 95892 are 2, 3, 61, 131. Prime factorization of 95892 in exponential form is:

95892 = 2² × 3¹ × 61¹ × 131¹

Step-3: Factors of 95880

List of positive integer factors of 95880 that divides 95880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 47, 51, 60, 68, 85, 94, 102, 120, 136, 141, 170, 188, 204, 235, 255, 282, 340, 376, 408, 470, 510, 564, 680, 705, 799, 940, 1020, 1128, 1410, 1598, 1880, 2040, 2397, 2820, 3196, 3995, 4794, 5640, 6392, 7990, 9588, 11985, 15980, 19176, 23970, 31960, 47940

Step-4: Factors of 95892

List of positive integer factors of 95892 that divides 95880 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 131, 183, 244, 262, 366, 393, 524, 732, 786, 1572, 7991, 15982, 23973, 31964, 47946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95880 and 95892. The biggest common factor number is the GCF number.
So the greatest common factor 95880 and 95892 is 12.

Also check out the Least Common Multiple of 95880 and 95892