What is the Greatest Common Factor of 95880 and 95900?

Greatest common factor (GCF) of 95880 and 95900 is 20.

GCF(95880,95900) = 20

We will now calculate the prime factors of 95880 and 95900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95880 and 95900.

How to find the GCF of 95880 and 95900?

We will first find the prime factorization of 95880 and 95900. After we will calculate the factors of 95880 and 95900 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 95900

Prime factors of 95900 are 2, 5, 7, 137. Prime factorization of 95900 in exponential form is:

95900 = 2² × 5² × 7¹ × 137¹

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 95900

List of positive integer factors of 95900 that divides 95880 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 137, 140, 175, 274, 350, 548, 685, 700, 959, 1370, 1918, 2740, 3425, 3836, 4795, 6850, 9590, 13700, 19180, 23975, 47950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95880 and 95900. The biggest common factor number is the GCF number.
So the greatest common factor 95880 and 95900 is 20.

Also check out the Least Common Multiple of 95880 and 95900