What is the Greatest Common Factor of 66848 and 66852?

Greatest common factor (GCF) of 66848 and 66852 is 4.

GCF(66848,66852) = 4

We will now calculate the prime factors of 66848 and 66852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66848 and 66852.

How to find the GCF of 66848 and 66852?

We will first find the prime factorization of 66848 and 66852. After we will calculate the factors of 66848 and 66852 and find the biggest common factor number .

Step-1: Prime Factorization of 66848

Prime factors of 66848 are 2, 2089. Prime factorization of 66848 in exponential form is:

66848 = 2⁵ × 2089¹

Step-2: Prime Factorization of 66852

Prime factors of 66852 are 2, 3, 619. Prime factorization of 66852 in exponential form is:

66852 = 2² × 3³ × 619¹

Step-3: Factors of 66848

List of positive integer factors of 66848 that divides 66848 without a remainder.

1, 2, 4, 8, 16, 32, 2089, 4178, 8356, 16712, 33424

Step-4: Factors of 66852

List of positive integer factors of 66852 that divides 66848 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 619, 1238, 1857, 2476, 3714, 5571, 7428, 11142, 16713, 22284, 33426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66848 and 66852. The biggest common factor number is the GCF number.
So the greatest common factor 66848 and 66852 is 4.

Also check out the Least Common Multiple of 66848 and 66852