What is the Greatest Common Factor of 84141 and 84160?

Greatest common factor (GCF) of 84141 and 84160 is 1.

GCF(84141,84160) = 1

We will now calculate the prime factors of 84141 and 84160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84141 and 84160.

How to find the GCF of 84141 and 84160?

We will first find the prime factorization of 84141 and 84160. After we will calculate the factors of 84141 and 84160 and find the biggest common factor number .

Step-1: Prime Factorization of 84141

Prime factors of 84141 are 3, 9349. Prime factorization of 84141 in exponential form is:

84141 = 3² × 9349¹

Step-2: Prime Factorization of 84160

Prime factors of 84160 are 2, 5, 263. Prime factorization of 84160 in exponential form is:

84160 = 2⁶ × 5¹ × 263¹

Step-3: Factors of 84141

List of positive integer factors of 84141 that divides 84141 without a remainder.

1, 3, 9, 9349, 28047

Step-4: Factors of 84160

List of positive integer factors of 84160 that divides 84141 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 263, 320, 526, 1052, 1315, 2104, 2630, 4208, 5260, 8416, 10520, 16832, 21040, 42080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84141 and 84160. The biggest common factor number is the GCF number.
So the greatest common factor 84141 and 84160 is 1.

Also check out the Least Common Multiple of 84141 and 84160