What is the Greatest Common Factor of 83634 and 83644?

Greatest common factor (GCF) of 83634 and 83644 is 2.

GCF(83634,83644) = 2

We will now calculate the prime factors of 83634 and 83644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83634 and 83644.

How to find the GCF of 83634 and 83644?

We will first find the prime factorization of 83634 and 83644. After we will calculate the factors of 83634 and 83644 and find the biggest common factor number .

Step-1: Prime Factorization of 83634

Prime factors of 83634 are 2, 3, 53, 263. Prime factorization of 83634 in exponential form is:

83634 = 2¹ × 3¹ × 53¹ × 263¹

Step-2: Prime Factorization of 83644

Prime factors of 83644 are 2, 11, 1901. Prime factorization of 83644 in exponential form is:

83644 = 2² × 11¹ × 1901¹

Step-3: Factors of 83634

List of positive integer factors of 83634 that divides 83634 without a remainder.

1, 2, 3, 6, 53, 106, 159, 263, 318, 526, 789, 1578, 13939, 27878, 41817

Step-4: Factors of 83644

List of positive integer factors of 83644 that divides 83634 without a remainder.

1, 2, 4, 11, 22, 44, 1901, 3802, 7604, 20911, 41822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83634 and 83644. The biggest common factor number is the GCF number.
So the greatest common factor 83634 and 83644 is 2.

Also check out the Least Common Multiple of 83634 and 83644