What is the Greatest Common Factor of 75044 and 75048?

Greatest common factor (GCF) of 75044 and 75048 is 4.

GCF(75044,75048) = 4

We will now calculate the prime factors of 75044 and 75048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75044 and 75048.

How to find the GCF of 75044 and 75048?

We will first find the prime factorization of 75044 and 75048. After we will calculate the factors of 75044 and 75048 and find the biggest common factor number .

Step-1: Prime Factorization of 75044

Prime factors of 75044 are 2, 73, 257. Prime factorization of 75044 in exponential form is:

75044 = 2² × 73¹ × 257¹

Step-2: Prime Factorization of 75048

Prime factors of 75048 are 2, 3, 53, 59. Prime factorization of 75048 in exponential form is:

75048 = 2³ × 3¹ × 53¹ × 59¹

Step-3: Factors of 75044

List of positive integer factors of 75044 that divides 75044 without a remainder.

1, 2, 4, 73, 146, 257, 292, 514, 1028, 18761, 37522

Step-4: Factors of 75048

List of positive integer factors of 75048 that divides 75044 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 53, 59, 106, 118, 159, 177, 212, 236, 318, 354, 424, 472, 636, 708, 1272, 1416, 3127, 6254, 9381, 12508, 18762, 25016, 37524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75044 and 75048. The biggest common factor number is the GCF number.
So the greatest common factor 75044 and 75048 is 4.

Also check out the Least Common Multiple of 75044 and 75048