What is the Greatest Common Factor of 69398 and 69412?

Greatest common factor (GCF) of 69398 and 69412 is 14.

GCF(69398,69412) = 14

We will now calculate the prime factors of 69398 and 69412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69398 and 69412.

How to find the GCF of 69398 and 69412?

We will first find the prime factorization of 69398 and 69412. After we will calculate the factors of 69398 and 69412 and find the biggest common factor number .

Step-1: Prime Factorization of 69398

Prime factors of 69398 are 2, 7, 4957. Prime factorization of 69398 in exponential form is:

69398 = 2¹ × 7¹ × 4957¹

Step-2: 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-3: Factors of 69398

List of positive integer factors of 69398 that divides 69398 without a remainder.

1, 2, 7, 14, 4957, 9914, 34699

Step-4: Factors of 69412

List of positive integer factors of 69412 that divides 69398 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69398 and 69412. The biggest common factor number is the GCF number.
So the greatest common factor 69398 and 69412 is 14.

Also check out the Least Common Multiple of 69398 and 69412