What is the Greatest Common Factor of 69412 and 69419?

Greatest common factor (GCF) of 69412 and 69419 is 7.

GCF(69412,69419) = 7

We will now calculate the prime factors of 69412 and 69419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69412 and 69419.

How to find the GCF of 69412 and 69419?

We will first find the prime factorization of 69412 and 69419. After we will calculate the factors of 69412 and 69419 and find the biggest common factor number .

Step-1: Prime Factorization of 69412

Prime factors of 69412 are 2, 7, 37, 67. Prime factorization of 69412 in exponential form is:

69412 = 2² × 7¹ × 37¹ × 67¹

Step-2: 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-3: Factors of 69412

List of positive integer factors of 69412 that divides 69412 without a remainder.

1, 2, 4, 7, 14, 28, 37, 67, 74, 134, 148, 259, 268, 469, 518, 938, 1036, 1876, 2479, 4958, 9916, 17353, 34706

Step-4: Factors of 69419

List of positive integer factors of 69419 that divides 69412 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69412 and 69419. The biggest common factor number is the GCF number.
So the greatest common factor 69412 and 69419 is 7.

Also check out the Least Common Multiple of 69412 and 69419