What is the Greatest Common Factor of 84320 and 84324?

Greatest common factor (GCF) of 84320 and 84324 is 4.

GCF(84320,84324) = 4

We will now calculate the prime factors of 84320 and 84324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84320 and 84324.

How to find the GCF of 84320 and 84324?

We will first find the prime factorization of 84320 and 84324. After we will calculate the factors of 84320 and 84324 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 84324

Prime factors of 84324 are 2, 3, 7027. Prime factorization of 84324 in exponential form is:

84324 = 2² × 3¹ × 7027¹

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 84324

List of positive integer factors of 84324 that divides 84320 without a remainder.

1, 2, 3, 4, 6, 12, 7027, 14054, 21081, 28108, 42162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84320 and 84324. The biggest common factor number is the GCF number.
So the greatest common factor 84320 and 84324 is 4.

Also check out the Least Common Multiple of 84320 and 84324