What is the Greatest Common Factor of 84860 and 84864?

Greatest common factor (GCF) of 84860 and 84864 is 4.

GCF(84860,84864) = 4

We will now calculate the prime factors of 84860 and 84864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84860 and 84864.

How to find the GCF of 84860 and 84864?

We will first find the prime factorization of 84860 and 84864. After we will calculate the factors of 84860 and 84864 and find the biggest common factor number .

Step-1: Prime Factorization of 84860

Prime factors of 84860 are 2, 5, 4243. Prime factorization of 84860 in exponential form is:

84860 = 2² × 5¹ × 4243¹

Step-2: Prime Factorization of 84864

Prime factors of 84864 are 2, 3, 13, 17. Prime factorization of 84864 in exponential form is:

84864 = 2⁷ × 3¹ × 13¹ × 17¹

Step-3: Factors of 84860

List of positive integer factors of 84860 that divides 84860 without a remainder.

1, 2, 4, 5, 10, 20, 4243, 8486, 16972, 21215, 42430

Step-4: Factors of 84864

List of positive integer factors of 84864 that divides 84860 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48, 51, 52, 64, 68, 78, 96, 102, 104, 128, 136, 156, 192, 204, 208, 221, 272, 312, 384, 408, 416, 442, 544, 624, 663, 816, 832, 884, 1088, 1248, 1326, 1632, 1664, 1768, 2176, 2496, 2652, 3264, 3536, 4992, 5304, 6528, 7072, 10608, 14144, 21216, 28288, 42432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84860 and 84864. The biggest common factor number is the GCF number.
So the greatest common factor 84860 and 84864 is 4.

Also check out the Least Common Multiple of 84860 and 84864