What is the Greatest Common Factor of 95920 and 95930?

Greatest common factor (GCF) of 95920 and 95930 is 10.

GCF(95920,95930) = 10

We will now calculate the prime factors of 95920 and 95930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95920 and 95930.

How to find the GCF of 95920 and 95930?

We will first find the prime factorization of 95920 and 95930. After we will calculate the factors of 95920 and 95930 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95930

Prime factors of 95930 are 2, 5, 53, 181. Prime factorization of 95930 in exponential form is:

95930 = 2¹ × 5¹ × 53¹ × 181¹

Step-3: Factors of 95920

List of positive integer factors of 95920 that divides 95920 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

Step-4: Factors of 95930

List of positive integer factors of 95930 that divides 95920 without a remainder.

1, 2, 5, 10, 53, 106, 181, 265, 362, 530, 905, 1810, 9593, 19186, 47965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95920 and 95930. The biggest common factor number is the GCF number.
So the greatest common factor 95920 and 95930 is 10.

Also check out the Least Common Multiple of 95920 and 95930