What is the Greatest Common Factor of 83629 and 83649?

Greatest common factor (GCF) of 83629 and 83649 is 1.

GCF(83629,83649) = 1

We will now calculate the prime factors of 83629 and 83649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83629 and 83649.

How to find the GCF of 83629 and 83649?

We will first find the prime factorization of 83629 and 83649. After we will calculate the factors of 83629 and 83649 and find the biggest common factor number .

Step-1: Prime Factorization of 83629

Prime factors of 83629 are 7, 13, 919. Prime factorization of 83629 in exponential form is:

83629 = 7¹ × 13¹ × 919¹

Step-2: Prime Factorization of 83649

Prime factors of 83649 are 3, 27883. Prime factorization of 83649 in exponential form is:

83649 = 3¹ × 27883¹

Step-3: Factors of 83629

List of positive integer factors of 83629 that divides 83629 without a remainder.

1, 7, 13, 91, 919, 6433, 11947

Step-4: Factors of 83649

List of positive integer factors of 83649 that divides 83629 without a remainder.

1, 3, 27883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83629 and 83649. The biggest common factor number is the GCF number.
So the greatest common factor 83629 and 83649 is 1.

Also check out the Least Common Multiple of 83629 and 83649