What is the Greatest Common Factor of 84392 and 84409?

Greatest common factor (GCF) of 84392 and 84409 is 1.

GCF(84392,84409) = 1

We will now calculate the prime factors of 84392 and 84409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84392 and 84409.

How to find the GCF of 84392 and 84409?

We will first find the prime factorization of 84392 and 84409. After we will calculate the factors of 84392 and 84409 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 84409

Prime factors of 84409 are 13, 43, 151. Prime factorization of 84409 in exponential form is:

84409 = 13¹ × 43¹ × 151¹

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 84409

List of positive integer factors of 84409 that divides 84392 without a remainder.

1, 13, 43, 151, 559, 1963, 6493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84392 and 84409. The biggest common factor number is the GCF number.
So the greatest common factor 84392 and 84409 is 1.

Also check out the Least Common Multiple of 84392 and 84409