What is the Greatest Common Factor of 83752 and 83762?

Greatest common factor (GCF) of 83752 and 83762 is 2.

GCF(83752,83762) = 2

We will now calculate the prime factors of 83752 and 83762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83752 and 83762.

How to find the GCF of 83752 and 83762?

We will first find the prime factorization of 83752 and 83762. After we will calculate the factors of 83752 and 83762 and find the biggest common factor number .

Step-1: Prime Factorization of 83752

Prime factors of 83752 are 2, 19, 29. Prime factorization of 83752 in exponential form is:

83752 = 2³ × 19² × 29¹

Step-2: Prime Factorization of 83762

Prime factors of 83762 are 2, 7, 31, 193. Prime factorization of 83762 in exponential form is:

83762 = 2¹ × 7¹ × 31¹ × 193¹

Step-3: Factors of 83752

List of positive integer factors of 83752 that divides 83752 without a remainder.

1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 361, 551, 722, 1102, 1444, 2204, 2888, 4408, 10469, 20938, 41876

Step-4: Factors of 83762

List of positive integer factors of 83762 that divides 83752 without a remainder.

1, 2, 7, 14, 31, 62, 193, 217, 386, 434, 1351, 2702, 5983, 11966, 41881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83752 and 83762. The biggest common factor number is the GCF number.
So the greatest common factor 83752 and 83762 is 2.

Also check out the Least Common Multiple of 83752 and 83762