What is the Greatest Common Factor of 83354 and 83372?

Greatest common factor (GCF) of 83354 and 83372 is 2.

GCF(83354,83372) = 2

We will now calculate the prime factors of 83354 and 83372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83354 and 83372.

How to find the GCF of 83354 and 83372?

We will first find the prime factorization of 83354 and 83372. After we will calculate the factors of 83354 and 83372 and find the biggest common factor number .

Step-1: Prime Factorization of 83354

Prime factors of 83354 are 2, 71, 587. Prime factorization of 83354 in exponential form is:

83354 = 2¹ × 71¹ × 587¹

Step-2: Prime Factorization of 83372

Prime factors of 83372 are 2, 19, 1097. Prime factorization of 83372 in exponential form is:

83372 = 2² × 19¹ × 1097¹

Step-3: Factors of 83354

List of positive integer factors of 83354 that divides 83354 without a remainder.

1, 2, 71, 142, 587, 1174, 41677

Step-4: Factors of 83372

List of positive integer factors of 83372 that divides 83354 without a remainder.

1, 2, 4, 19, 38, 76, 1097, 2194, 4388, 20843, 41686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83354 and 83372. The biggest common factor number is the GCF number.
So the greatest common factor 83354 and 83372 is 2.

Also check out the Least Common Multiple of 83354 and 83372