What is the Greatest Common Factor of 83496 and 83504?

Greatest common factor (GCF) of 83496 and 83504 is 8.

GCF(83496,83504) = 8

We will now calculate the prime factors of 83496 and 83504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83496 and 83504.

How to find the GCF of 83496 and 83504?

We will first find the prime factorization of 83496 and 83504. After we will calculate the factors of 83496 and 83504 and find the biggest common factor number .

Step-1: Prime Factorization of 83496

Prime factors of 83496 are 2, 3, 7, 71. Prime factorization of 83496 in exponential form is:

83496 = 2³ × 3¹ × 7² × 71¹

Step-2: Prime Factorization of 83504

Prime factors of 83504 are 2, 17, 307. Prime factorization of 83504 in exponential form is:

83504 = 2⁴ × 17¹ × 307¹

Step-3: Factors of 83496

List of positive integer factors of 83496 that divides 83496 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 71, 84, 98, 142, 147, 168, 196, 213, 284, 294, 392, 426, 497, 568, 588, 852, 994, 1176, 1491, 1704, 1988, 2982, 3479, 3976, 5964, 6958, 10437, 11928, 13916, 20874, 27832, 41748

Step-4: Factors of 83504

List of positive integer factors of 83504 that divides 83496 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 307, 614, 1228, 2456, 4912, 5219, 10438, 20876, 41752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83496 and 83504. The biggest common factor number is the GCF number.
So the greatest common factor 83496 and 83504 is 8.

Also check out the Least Common Multiple of 83496 and 83504