What is the Greatest Common Factor of 69440 and 69456?

Greatest common factor (GCF) of 69440 and 69456 is 16.

GCF(69440,69456) = 16

We will now calculate the prime factors of 69440 and 69456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69440 and 69456.

How to find the GCF of 69440 and 69456?

We will first find the prime factorization of 69440 and 69456. After we will calculate the factors of 69440 and 69456 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69456

Prime factors of 69456 are 2, 3, 1447. Prime factorization of 69456 in exponential form is:

69456 = 2⁴ × 3¹ × 1447¹

Step-3: Factors of 69440

List of positive integer factors of 69440 that divides 69440 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

Step-4: Factors of 69456

List of positive integer factors of 69456 that divides 69440 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1447, 2894, 4341, 5788, 8682, 11576, 17364, 23152, 34728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69440 and 69456. The biggest common factor number is the GCF number.
So the greatest common factor 69440 and 69456 is 16.

Also check out the Least Common Multiple of 69440 and 69456