What is the Greatest Common Factor of 94301 and 94320?

Greatest common factor (GCF) of 94301 and 94320 is 1.

GCF(94301,94320) = 1

We will now calculate the prime factors of 94301 and 94320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94301 and 94320.

How to find the GCF of 94301 and 94320?

We will first find the prime factorization of 94301 and 94320. After we will calculate the factors of 94301 and 94320 and find the biggest common factor number .

Step-1: Prime Factorization of 94301

Prime factors of 94301 are 181, 521. Prime factorization of 94301 in exponential form is:

94301 = 181¹ × 521¹

Step-2: Prime Factorization of 94320

Prime factors of 94320 are 2, 3, 5, 131. Prime factorization of 94320 in exponential form is:

94320 = 2⁴ × 3² × 5¹ × 131¹

Step-3: Factors of 94301

List of positive integer factors of 94301 that divides 94301 without a remainder.

1, 181, 521

Step-4: Factors of 94320

List of positive integer factors of 94320 that divides 94301 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 131, 144, 180, 240, 262, 360, 393, 524, 655, 720, 786, 1048, 1179, 1310, 1572, 1965, 2096, 2358, 2620, 3144, 3930, 4716, 5240, 5895, 6288, 7860, 9432, 10480, 11790, 15720, 18864, 23580, 31440, 47160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94301 and 94320. The biggest common factor number is the GCF number.
So the greatest common factor 94301 and 94320 is 1.

Also check out the Least Common Multiple of 94301 and 94320