What is the Greatest Common Factor of 69426 and 69440?

Greatest common factor (GCF) of 69426 and 69440 is 14.

GCF(69426,69440) = 14

We will now calculate the prime factors of 69426 and 69440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69426 and 69440.

How to find the GCF of 69426 and 69440?

We will first find the prime factorization of 69426 and 69440. After we will calculate the factors of 69426 and 69440 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 69440

Prime factors of 69440 are 2, 5, 7, 31. Prime factorization of 69440 in exponential form is:

69440 = 2⁶ × 5¹ × 7¹ × 31¹

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 69440

List of positive integer factors of 69440 that divides 69426 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 31, 32, 35, 40, 56, 62, 64, 70, 80, 112, 124, 140, 155, 160, 217, 224, 248, 280, 310, 320, 434, 448, 496, 560, 620, 868, 992, 1085, 1120, 1240, 1736, 1984, 2170, 2240, 2480, 3472, 4340, 4960, 6944, 8680, 9920, 13888, 17360, 34720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69426 and 69440. The biggest common factor number is the GCF number.
So the greatest common factor 69426 and 69440 is 14.

Also check out the Least Common Multiple of 69426 and 69440