What is the Greatest Common Factor of 84392 and 84400?

Greatest common factor (GCF) of 84392 and 84400 is 8.

GCF(84392,84400) = 8

We will now calculate the prime factors of 84392 and 84400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84392 and 84400.

How to find the GCF of 84392 and 84400?

We will first find the prime factorization of 84392 and 84400. After we will calculate the factors of 84392 and 84400 and find the biggest common factor number .

Step-1: Prime Factorization of 84392

Prime factors of 84392 are 2, 7, 11, 137. Prime factorization of 84392 in exponential form is:

84392 = 2³ × 7¹ × 11¹ × 137¹

Step-2: Prime Factorization of 84400

Prime factors of 84400 are 2, 5, 211. Prime factorization of 84400 in exponential form is:

84400 = 2⁴ × 5² × 211¹

Step-3: Factors of 84392

List of positive integer factors of 84392 that divides 84392 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 137, 154, 274, 308, 548, 616, 959, 1096, 1507, 1918, 3014, 3836, 6028, 7672, 10549, 12056, 21098, 42196

Step-4: Factors of 84400

List of positive integer factors of 84400 that divides 84392 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 211, 400, 422, 844, 1055, 1688, 2110, 3376, 4220, 5275, 8440, 10550, 16880, 21100, 42200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84392 and 84400. The biggest common factor number is the GCF number.
So the greatest common factor 84392 and 84400 is 8.

Also check out the Least Common Multiple of 84392 and 84400