What is the Greatest Common Factor of 69440 and 69447?

Greatest common factor (GCF) of 69440 and 69447 is 7.

GCF(69440,69447) = 7

We will now calculate the prime factors of 69440 and 69447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69440 and 69447.

How to find the GCF of 69440 and 69447?

We will first find the prime factorization of 69440 and 69447. After we will calculate the factors of 69440 and 69447 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 69447

Prime factors of 69447 are 3, 7, 3307. Prime factorization of 69447 in exponential form is:

69447 = 3¹ × 7¹ × 3307¹

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 69447

List of positive integer factors of 69447 that divides 69440 without a remainder.

1, 3, 7, 21, 3307, 9921, 23149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69440 and 69447. The biggest common factor number is the GCF number.
So the greatest common factor 69440 and 69447 is 7.

Also check out the Least Common Multiple of 69440 and 69447