What is the Greatest Common Factor of 68848 and 68852?

Greatest common factor (GCF) of 68848 and 68852 is 4.

GCF(68848,68852) = 4

We will now calculate the prime factors of 68848 and 68852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68848 and 68852.

How to find the GCF of 68848 and 68852?

We will first find the prime factorization of 68848 and 68852. After we will calculate the factors of 68848 and 68852 and find the biggest common factor number .

Step-1: Prime Factorization of 68848

Prime factors of 68848 are 2, 13, 331. Prime factorization of 68848 in exponential form is:

68848 = 2⁴ × 13¹ × 331¹

Step-2: Prime Factorization of 68852

Prime factors of 68852 are 2, 7, 2459. Prime factorization of 68852 in exponential form is:

68852 = 2² × 7¹ × 2459¹

Step-3: Factors of 68848

List of positive integer factors of 68848 that divides 68848 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 331, 662, 1324, 2648, 4303, 5296, 8606, 17212, 34424

Step-4: Factors of 68852

List of positive integer factors of 68852 that divides 68848 without a remainder.

1, 2, 4, 7, 14, 28, 2459, 4918, 9836, 17213, 34426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68848 and 68852. The biggest common factor number is the GCF number.
So the greatest common factor 68848 and 68852 is 4.

Also check out the Least Common Multiple of 68848 and 68852