What is the Greatest Common Factor of 83638 and 83650?

Greatest common factor (GCF) of 83638 and 83650 is 2.

GCF(83638,83650) = 2

We will now calculate the prime factors of 83638 and 83650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83638 and 83650.

How to find the GCF of 83638 and 83650?

We will first find the prime factorization of 83638 and 83650. After we will calculate the factors of 83638 and 83650 and find the biggest common factor number .

Step-1: Prime Factorization of 83638

Prime factors of 83638 are 2, 19, 31, 71. Prime factorization of 83638 in exponential form is:

83638 = 2¹ × 19¹ × 31¹ × 71¹

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 83638

List of positive integer factors of 83638 that divides 83638 without a remainder.

1, 2, 19, 31, 38, 62, 71, 142, 589, 1178, 1349, 2201, 2698, 4402, 41819

Step-4: Factors of 83650

List of positive integer factors of 83650 that divides 83638 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 83638 and 83650. The biggest common factor number is the GCF number.
So the greatest common factor 83638 and 83650 is 2.

Also check out the Least Common Multiple of 83638 and 83650