What is the Greatest Common Factor of 95912 and 95920?

Greatest common factor (GCF) of 95912 and 95920 is 8.

GCF(95912,95920) = 8

We will now calculate the prime factors of 95912 and 95920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95912 and 95920.

How to find the GCF of 95912 and 95920?

We will first find the prime factorization of 95912 and 95920. After we will calculate the factors of 95912 and 95920 and find the biggest common factor number .

Step-1: Prime Factorization of 95912

Prime factors of 95912 are 2, 19, 631. Prime factorization of 95912 in exponential form is:

95912 = 2³ × 19¹ × 631¹

Step-2: Prime Factorization of 95920

Prime factors of 95920 are 2, 5, 11, 109. Prime factorization of 95920 in exponential form is:

95920 = 2⁴ × 5¹ × 11¹ × 109¹

Step-3: Factors of 95912

List of positive integer factors of 95912 that divides 95912 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 631, 1262, 2524, 5048, 11989, 23978, 47956

Step-4: Factors of 95920

List of positive integer factors of 95920 that divides 95912 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 109, 110, 176, 218, 220, 436, 440, 545, 872, 880, 1090, 1199, 1744, 2180, 2398, 4360, 4796, 5995, 8720, 9592, 11990, 19184, 23980, 47960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95912 and 95920. The biggest common factor number is the GCF number.
So the greatest common factor 95912 and 95920 is 8.

Also check out the Least Common Multiple of 95912 and 95920