What is the Greatest Common Factor of 83643 and 83650?

Greatest common factor (GCF) of 83643 and 83650 is 7.

GCF(83643,83650) = 7

We will now calculate the prime factors of 83643 and 83650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83643 and 83650.

How to find the GCF of 83643 and 83650?

We will first find the prime factorization of 83643 and 83650. After we will calculate the factors of 83643 and 83650 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83650

Prime factors of 83650 are 2, 5, 7, 239. Prime factorization of 83650 in exponential form is:

83650 = 2¹ × 5² × 7¹ × 239¹

Step-3: Factors of 83643

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

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

Step-4: Factors of 83650

List of positive integer factors of 83650 that divides 83643 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 239, 350, 478, 1195, 1673, 2390, 3346, 5975, 8365, 11950, 16730, 41825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83643 and 83650. The biggest common factor number is the GCF number.
So the greatest common factor 83643 and 83650 is 7.

Also check out the Least Common Multiple of 83643 and 83650