What is the Greatest Common Factor of 95913 and 95920?

Greatest common factor (GCF) of 95913 and 95920 is 1.

GCF(95913,95920) = 1

We will now calculate the prime factors of 95913 and 95920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95913 and 95920.

How to find the GCF of 95913 and 95920?

We will first find the prime factorization of 95913 and 95920. After we will calculate the factors of 95913 and 95920 and find the biggest common factor number .

Step-1: Prime Factorization of 95913

Prime factors of 95913 are 3, 10657. Prime factorization of 95913 in exponential form is:

95913 = 3² × 10657¹

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 95913

List of positive integer factors of 95913 that divides 95913 without a remainder.

1, 3, 9, 10657, 31971

Step-4: Factors of 95920

List of positive integer factors of 95920 that divides 95913 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 95913 and 95920. The biggest common factor number is the GCF number.
So the greatest common factor 95913 and 95920 is 1.

Also check out the Least Common Multiple of 95913 and 95920