What is the Greatest Common Factor of 95920 and 95938?

Greatest common factor (GCF) of 95920 and 95938 is 2.

GCF(95920,95938) = 2

We will now calculate the prime factors of 95920 and 95938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95920 and 95938.

How to find the GCF of 95920 and 95938?

We will first find the prime factorization of 95920 and 95938. After we will calculate the factors of 95920 and 95938 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 95938

Prime factors of 95938 are 2, 47969. Prime factorization of 95938 in exponential form is:

95938 = 2¹ × 47969¹

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 95938

List of positive integer factors of 95938 that divides 95920 without a remainder.

1, 2, 47969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95920 and 95938. The biggest common factor number is the GCF number.
So the greatest common factor 95920 and 95938 is 2.

Also check out the Least Common Multiple of 95920 and 95938