What is the Greatest Common Factor of 85044 and 85048?

Greatest common factor (GCF) of 85044 and 85048 is 4.

GCF(85044,85048) = 4

We will now calculate the prime factors of 85044 and 85048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85044 and 85048.

How to find the GCF of 85044 and 85048?

We will first find the prime factorization of 85044 and 85048. After we will calculate the factors of 85044 and 85048 and find the biggest common factor number .

Step-1: Prime Factorization of 85044

Prime factors of 85044 are 2, 3, 19, 373. Prime factorization of 85044 in exponential form is:

85044 = 2² × 3¹ × 19¹ × 373¹

Step-2: Prime Factorization of 85048

Prime factors of 85048 are 2, 10631. Prime factorization of 85048 in exponential form is:

85048 = 2³ × 10631¹

Step-3: Factors of 85044

List of positive integer factors of 85044 that divides 85044 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 373, 746, 1119, 1492, 2238, 4476, 7087, 14174, 21261, 28348, 42522

Step-4: Factors of 85048

List of positive integer factors of 85048 that divides 85044 without a remainder.

1, 2, 4, 8, 10631, 21262, 42524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85044 and 85048. The biggest common factor number is the GCF number.
So the greatest common factor 85044 and 85048 is 4.

Also check out the Least Common Multiple of 85044 and 85048