What is the Greatest Common Factor of 73372 and 73382?

Greatest common factor (GCF) of 73372 and 73382 is 2.

GCF(73372,73382) = 2

We will now calculate the prime factors of 73372 and 73382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73372 and 73382.

How to find the GCF of 73372 and 73382?

We will first find the prime factorization of 73372 and 73382. After we will calculate the factors of 73372 and 73382 and find the biggest common factor number .

Step-1: Prime Factorization of 73372

Prime factors of 73372 are 2, 13, 17, 83. Prime factorization of 73372 in exponential form is:

73372 = 2² × 13¹ × 17¹ × 83¹

Step-2: Prime Factorization of 73382

Prime factors of 73382 are 2, 36691. Prime factorization of 73382 in exponential form is:

73382 = 2¹ × 36691¹

Step-3: Factors of 73372

List of positive integer factors of 73372 that divides 73372 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 83, 166, 221, 332, 442, 884, 1079, 1411, 2158, 2822, 4316, 5644, 18343, 36686

Step-4: Factors of 73382

List of positive integer factors of 73382 that divides 73372 without a remainder.

1, 2, 36691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73372 and 73382. The biggest common factor number is the GCF number.
So the greatest common factor 73372 and 73382 is 2.

Also check out the Least Common Multiple of 73372 and 73382