What is the Greatest Common Factor of 94120 and 94129?

Greatest common factor (GCF) of 94120 and 94129 is 1.

GCF(94120,94129) = 1

We will now calculate the prime factors of 94120 and 94129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94120 and 94129.

How to find the GCF of 94120 and 94129?

We will first find the prime factorization of 94120 and 94129. After we will calculate the factors of 94120 and 94129 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94129

Prime factors of 94129 are 7, 17, 113. Prime factorization of 94129 in exponential form is:

94129 = 7² × 17¹ × 113¹

Step-3: Factors of 94120

List of positive integer factors of 94120 that divides 94120 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

Step-4: Factors of 94129

List of positive integer factors of 94129 that divides 94120 without a remainder.

1, 7, 17, 49, 113, 119, 791, 833, 1921, 5537, 13447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94120 and 94129. The biggest common factor number is the GCF number.
So the greatest common factor 94120 and 94129 is 1.

Also check out the Least Common Multiple of 94120 and 94129