What is the Greatest Common Factor of 69856 and 69868?

Greatest common factor (GCF) of 69856 and 69868 is 4.

GCF(69856,69868) = 4

We will now calculate the prime factors of 69856 and 69868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69856 and 69868.

How to find the GCF of 69856 and 69868?

We will first find the prime factorization of 69856 and 69868. After we will calculate the factors of 69856 and 69868 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 69868

Prime factors of 69868 are 2, 17467. Prime factorization of 69868 in exponential form is:

69868 = 2² × 17467¹

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 69868

List of positive integer factors of 69868 that divides 69856 without a remainder.

1, 2, 4, 17467, 34934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69856 and 69868. The biggest common factor number is the GCF number.
So the greatest common factor 69856 and 69868 is 4.

Also check out the Least Common Multiple of 69856 and 69868