What is the Greatest Common Factor of 83644 and 83652?

Greatest common factor (GCF) of 83644 and 83652 is 4.

GCF(83644,83652) = 4

We will now calculate the prime factors of 83644 and 83652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83644 and 83652.

How to find the GCF of 83644 and 83652?

We will first find the prime factorization of 83644 and 83652. After we will calculate the factors of 83644 and 83652 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83652

Prime factors of 83652 are 2, 3, 6971. Prime factorization of 83652 in exponential form is:

83652 = 2² × 3¹ × 6971¹

Step-3: Factors of 83644

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

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

Step-4: Factors of 83652

List of positive integer factors of 83652 that divides 83644 without a remainder.

1, 2, 3, 4, 6, 12, 6971, 13942, 20913, 27884, 41826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83644 and 83652. The biggest common factor number is the GCF number.
So the greatest common factor 83644 and 83652 is 4.

Also check out the Least Common Multiple of 83644 and 83652