What is the Greatest Common Factor of 20419 and 20433?

Greatest common factor (GCF) of 20419 and 20433 is 7.

GCF(20419,20433) = 7

We will now calculate the prime factors of 20419 and 20433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20419 and 20433.

How to find the GCF of 20419 and 20433?

We will first find the prime factorization of 20419 and 20433. After we will calculate the factors of 20419 and 20433 and find the biggest common factor number .

Step-1: Prime Factorization of 20419

Prime factors of 20419 are 7, 2917. Prime factorization of 20419 in exponential form is:

20419 = 7¹ × 2917¹

Step-2: Prime Factorization of 20433

Prime factors of 20433 are 3, 7, 139. Prime factorization of 20433 in exponential form is:

20433 = 3¹ × 7² × 139¹

Step-3: Factors of 20419

List of positive integer factors of 20419 that divides 20419 without a remainder.

1, 7, 2917

Step-4: Factors of 20433

List of positive integer factors of 20433 that divides 20419 without a remainder.

1, 3, 7, 21, 49, 139, 147, 417, 973, 2919, 6811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20419 and 20433. The biggest common factor number is the GCF number.
So the greatest common factor 20419 and 20433 is 7.

Also check out the Least Common Multiple of 20419 and 20433