What is the Greatest Common Factor of 69426 and 69443?

Greatest common factor (GCF) of 69426 and 69443 is 1.

GCF(69426,69443) = 1

We will now calculate the prime factors of 69426 and 69443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69426 and 69443.

How to find the GCF of 69426 and 69443?

We will first find the prime factorization of 69426 and 69443. After we will calculate the factors of 69426 and 69443 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69443

Prime factors of 69443 are 11, 59, 107. Prime factorization of 69443 in exponential form is:

69443 = 11¹ × 59¹ × 107¹

Step-3: Factors of 69426

List of positive integer factors of 69426 that divides 69426 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

Step-4: Factors of 69443

List of positive integer factors of 69443 that divides 69426 without a remainder.

1, 11, 59, 107, 649, 1177, 6313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69426 and 69443. The biggest common factor number is the GCF number.
So the greatest common factor 69426 and 69443 is 1.

Also check out the Least Common Multiple of 69426 and 69443