What is the Greatest Common Factor of 84320 and 84335?

Greatest common factor (GCF) of 84320 and 84335 is 5.

GCF(84320,84335) = 5

We will now calculate the prime factors of 84320 and 84335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84320 and 84335.

How to find the GCF of 84320 and 84335?

We will first find the prime factorization of 84320 and 84335. After we will calculate the factors of 84320 and 84335 and find the biggest common factor number .

Step-1: Prime Factorization of 84320

Prime factors of 84320 are 2, 5, 17, 31. Prime factorization of 84320 in exponential form is:

84320 = 2⁵ × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 84335

Prime factors of 84335 are 5, 101, 167. Prime factorization of 84335 in exponential form is:

84335 = 5¹ × 101¹ × 167¹

Step-3: Factors of 84320

List of positive integer factors of 84320 that divides 84320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 31, 32, 34, 40, 62, 68, 80, 85, 124, 136, 155, 160, 170, 248, 272, 310, 340, 496, 527, 544, 620, 680, 992, 1054, 1240, 1360, 2108, 2480, 2635, 2720, 4216, 4960, 5270, 8432, 10540, 16864, 21080, 42160

Step-4: Factors of 84335

List of positive integer factors of 84335 that divides 84320 without a remainder.

1, 5, 101, 167, 505, 835, 16867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84320 and 84335. The biggest common factor number is the GCF number.
So the greatest common factor 84320 and 84335 is 5.

Also check out the Least Common Multiple of 84320 and 84335