What is the Greatest Common Factor of 69412 and 69426?

Greatest common factor (GCF) of 69412 and 69426 is 14.

GCF(69412,69426) = 14

We will now calculate the prime factors of 69412 and 69426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69412 and 69426.

How to find the GCF of 69412 and 69426?

We will first find the prime factorization of 69412 and 69426. After we will calculate the factors of 69412 and 69426 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 69426

Prime factors of 69426 are 2, 3, 7, 19, 29. Prime factorization of 69426 in exponential form is:

69426 = 2¹ × 3² × 7¹ × 19¹ × 29¹

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 69426

List of positive integer factors of 69426 that divides 69412 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 29, 38, 42, 57, 58, 63, 87, 114, 126, 133, 171, 174, 203, 261, 266, 342, 399, 406, 522, 551, 609, 798, 1102, 1197, 1218, 1653, 1827, 2394, 3306, 3654, 3857, 4959, 7714, 9918, 11571, 23142, 34713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69412 and 69426. The biggest common factor number is the GCF number.
So the greatest common factor 69412 and 69426 is 14.

Also check out the Least Common Multiple of 69412 and 69426