What is the Greatest Common Factor of 69419 and 69433?

Greatest common factor (GCF) of 69419 and 69433 is 7.

GCF(69419,69433) = 7

We will now calculate the prime factors of 69419 and 69433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69419 and 69433.

How to find the GCF of 69419 and 69433?

We will first find the prime factorization of 69419 and 69433. After we will calculate the factors of 69419 and 69433 and find the biggest common factor number .

Step-1: Prime Factorization of 69419

Prime factors of 69419 are 7, 47, 211. Prime factorization of 69419 in exponential form is:

69419 = 7¹ × 47¹ × 211¹

Step-2: Prime Factorization of 69433

Prime factors of 69433 are 7, 13, 109. Prime factorization of 69433 in exponential form is:

69433 = 7² × 13¹ × 109¹

Step-3: Factors of 69419

List of positive integer factors of 69419 that divides 69419 without a remainder.

1, 7, 47, 211, 329, 1477, 9917

Step-4: Factors of 69433

List of positive integer factors of 69433 that divides 69419 without a remainder.

1, 7, 13, 49, 91, 109, 637, 763, 1417, 5341, 9919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69419 and 69433. The biggest common factor number is the GCF number.
So the greatest common factor 69419 and 69433 is 7.

Also check out the Least Common Multiple of 69419 and 69433