What is the Greatest Common Factor of 69428 and 69440?

Greatest common factor (GCF) of 69428 and 69440 is 4.

GCF(69428,69440) = 4

We will now calculate the prime factors of 69428 and 69440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69428 and 69440.

How to find the GCF of 69428 and 69440?

We will first find the prime factorization of 69428 and 69440. After we will calculate the factors of 69428 and 69440 and find the biggest common factor number .

Step-1: Prime Factorization of 69428

Prime factors of 69428 are 2, 17, 1021. Prime factorization of 69428 in exponential form is:

69428 = 2² × 17¹ × 1021¹

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 69428

List of positive integer factors of 69428 that divides 69428 without a remainder.

1, 2, 4, 17, 34, 68, 1021, 2042, 4084, 17357, 34714

Step-4: Factors of 69440

List of positive integer factors of 69440 that divides 69428 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 69428 and 69440. The biggest common factor number is the GCF number.
So the greatest common factor 69428 and 69440 is 4.

Also check out the Least Common Multiple of 69428 and 69440