What is the Greatest Common Factor of 83489 and 83496?

Greatest common factor (GCF) of 83489 and 83496 is 7.

GCF(83489,83496) = 7

We will now calculate the prime factors of 83489 and 83496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83489 and 83496.

How to find the GCF of 83489 and 83496?

We will first find the prime factorization of 83489 and 83496. After we will calculate the factors of 83489 and 83496 and find the biggest common factor number .

Step-1: Prime Factorization of 83489

Prime factors of 83489 are 7, 11927. Prime factorization of 83489 in exponential form is:

83489 = 7¹ × 11927¹

Step-2: 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-3: Factors of 83489

List of positive integer factors of 83489 that divides 83489 without a remainder.

1, 7, 11927

Step-4: Factors of 83496

List of positive integer factors of 83496 that divides 83489 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83489 and 83496. The biggest common factor number is the GCF number.
So the greatest common factor 83489 and 83496 is 7.

Also check out the Least Common Multiple of 83489 and 83496