What is the Greatest Common Factor of 94105 and 94120?

Greatest common factor (GCF) of 94105 and 94120 is 5.

GCF(94105,94120) = 5

We will now calculate the prime factors of 94105 and 94120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94105 and 94120.

How to find the GCF of 94105 and 94120?

We will first find the prime factorization of 94105 and 94120. After we will calculate the factors of 94105 and 94120 and find the biggest common factor number .

Step-1: Prime Factorization of 94105

Prime factors of 94105 are 5, 11, 29, 59. Prime factorization of 94105 in exponential form is:

94105 = 5¹ × 11¹ × 29¹ × 59¹

Step-2: Prime Factorization of 94120

Prime factors of 94120 are 2, 5, 13, 181. Prime factorization of 94120 in exponential form is:

94120 = 2³ × 5¹ × 13¹ × 181¹

Step-3: Factors of 94105

List of positive integer factors of 94105 that divides 94105 without a remainder.

1, 5, 11, 29, 55, 59, 145, 295, 319, 649, 1595, 1711, 3245, 8555, 18821

Step-4: Factors of 94120

List of positive integer factors of 94120 that divides 94105 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 181, 260, 362, 520, 724, 905, 1448, 1810, 2353, 3620, 4706, 7240, 9412, 11765, 18824, 23530, 47060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94105 and 94120. The biggest common factor number is the GCF number.
So the greatest common factor 94105 and 94120 is 5.

Also check out the Least Common Multiple of 94105 and 94120