What is the Greatest Common Factor of 32414 and 32433?

Greatest common factor (GCF) of 32414 and 32433 is 19.

GCF(32414,32433) = 19

We will now calculate the prime factors of 32414 and 32433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32414 and 32433.

How to find the GCF of 32414 and 32433?

We will first find the prime factorization of 32414 and 32433. After we will calculate the factors of 32414 and 32433 and find the biggest common factor number .

Step-1: Prime Factorization of 32414

Prime factors of 32414 are 2, 19, 853. Prime factorization of 32414 in exponential form is:

32414 = 2¹ × 19¹ × 853¹

Step-2: Prime Factorization of 32433

Prime factors of 32433 are 3, 19, 569. Prime factorization of 32433 in exponential form is:

32433 = 3¹ × 19¹ × 569¹

Step-3: Factors of 32414

List of positive integer factors of 32414 that divides 32414 without a remainder.

1, 2, 19, 38, 853, 1706, 16207

Step-4: Factors of 32433

List of positive integer factors of 32433 that divides 32414 without a remainder.

1, 3, 19, 57, 569, 1707, 10811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32414 and 32433. The biggest common factor number is the GCF number.
So the greatest common factor 32414 and 32433 is 19.

Also check out the Least Common Multiple of 32414 and 32433