What is the Greatest Common Factor of 32361 and 32374?

Greatest common factor (GCF) of 32361 and 32374 is 1.

GCF(32361,32374) = 1

We will now calculate the prime factors of 32361 and 32374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32361 and 32374.

How to find the GCF of 32361 and 32374?

We will first find the prime factorization of 32361 and 32374. After we will calculate the factors of 32361 and 32374 and find the biggest common factor number .

Step-1: Prime Factorization of 32361

Prime factors of 32361 are 3, 7, 23, 67. Prime factorization of 32361 in exponential form is:

32361 = 3¹ × 7¹ × 23¹ × 67¹

Step-2: Prime Factorization of 32374

Prime factors of 32374 are 2, 16187. Prime factorization of 32374 in exponential form is:

32374 = 2¹ × 16187¹

Step-3: Factors of 32361

List of positive integer factors of 32361 that divides 32361 without a remainder.

1, 3, 7, 21, 23, 67, 69, 161, 201, 469, 483, 1407, 1541, 4623, 10787

Step-4: Factors of 32374

List of positive integer factors of 32374 that divides 32361 without a remainder.

1, 2, 16187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32361 and 32374. The biggest common factor number is the GCF number.
So the greatest common factor 32361 and 32374 is 1.

Also check out the Least Common Multiple of 32361 and 32374