What is the Greatest Common Factor of 69856 and 69870?

Greatest common factor (GCF) of 69856 and 69870 is 2.

GCF(69856,69870) = 2

We will now calculate the prime factors of 69856 and 69870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69856 and 69870.

How to find the GCF of 69856 and 69870?

We will first find the prime factorization of 69856 and 69870. After we will calculate the factors of 69856 and 69870 and find the biggest common factor number .

Step-1: Prime Factorization of 69856

Prime factors of 69856 are 2, 37, 59. Prime factorization of 69856 in exponential form is:

69856 = 2⁵ × 37¹ × 59¹

Step-2: Prime Factorization of 69870

Prime factors of 69870 are 2, 3, 5, 17, 137. Prime factorization of 69870 in exponential form is:

69870 = 2¹ × 3¹ × 5¹ × 17¹ × 137¹

Step-3: Factors of 69856

List of positive integer factors of 69856 that divides 69856 without a remainder.

1, 2, 4, 8, 16, 32, 37, 59, 74, 118, 148, 236, 296, 472, 592, 944, 1184, 1888, 2183, 4366, 8732, 17464, 34928

Step-4: Factors of 69870

List of positive integer factors of 69870 that divides 69856 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 137, 170, 255, 274, 411, 510, 685, 822, 1370, 2055, 2329, 4110, 4658, 6987, 11645, 13974, 23290, 34935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69856 and 69870. The biggest common factor number is the GCF number.
So the greatest common factor 69856 and 69870 is 2.

Also check out the Least Common Multiple of 69856 and 69870