What is the Greatest Common Factor of 83628 and 83643?

Greatest common factor (GCF) of 83628 and 83643 is 3.

GCF(83628,83643) = 3

We will now calculate the prime factors of 83628 and 83643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83628 and 83643.

How to find the GCF of 83628 and 83643?

We will first find the prime factorization of 83628 and 83643. After we will calculate the factors of 83628 and 83643 and find the biggest common factor number .

Step-1: Prime Factorization of 83628

Prime factors of 83628 are 2, 3, 23, 101. Prime factorization of 83628 in exponential form is:

83628 = 2² × 3² × 23¹ × 101¹

Step-2: Prime Factorization of 83643

Prime factors of 83643 are 3, 7, 569. Prime factorization of 83643 in exponential form is:

83643 = 3¹ × 7² × 569¹

Step-3: Factors of 83628

List of positive integer factors of 83628 that divides 83628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 101, 138, 202, 207, 276, 303, 404, 414, 606, 828, 909, 1212, 1818, 2323, 3636, 4646, 6969, 9292, 13938, 20907, 27876, 41814

Step-4: Factors of 83643

List of positive integer factors of 83643 that divides 83628 without a remainder.

1, 3, 7, 21, 49, 147, 569, 1707, 3983, 11949, 27881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83628 and 83643. The biggest common factor number is the GCF number.
So the greatest common factor 83628 and 83643 is 3.

Also check out the Least Common Multiple of 83628 and 83643