What is the Greatest Common Factor of 75288 and 75292?

Greatest common factor (GCF) of 75288 and 75292 is 4.

GCF(75288,75292) = 4

We will now calculate the prime factors of 75288 and 75292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75288 and 75292.

How to find the GCF of 75288 and 75292?

We will first find the prime factorization of 75288 and 75292. After we will calculate the factors of 75288 and 75292 and find the biggest common factor number .

Step-1: Prime Factorization of 75288

Prime factors of 75288 are 2, 3, 3137. Prime factorization of 75288 in exponential form is:

75288 = 2³ × 3¹ × 3137¹

Step-2: Prime Factorization of 75292

Prime factors of 75292 are 2, 7, 2689. Prime factorization of 75292 in exponential form is:

75292 = 2² × 7¹ × 2689¹

Step-3: Factors of 75288

List of positive integer factors of 75288 that divides 75288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3137, 6274, 9411, 12548, 18822, 25096, 37644

Step-4: Factors of 75292

List of positive integer factors of 75292 that divides 75288 without a remainder.

1, 2, 4, 7, 14, 28, 2689, 5378, 10756, 18823, 37646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75288 and 75292. The biggest common factor number is the GCF number.
So the greatest common factor 75288 and 75292 is 4.

Also check out the Least Common Multiple of 75288 and 75292