What is the Greatest Common Factor of 75288 and 75294?

Greatest common factor (GCF) of 75288 and 75294 is 6.

GCF(75288,75294) = 6

We will now calculate the prime factors of 75288 and 75294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75288 and 75294.

How to find the GCF of 75288 and 75294?

We will first find the prime factorization of 75288 and 75294. After we will calculate the factors of 75288 and 75294 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 75294

Prime factors of 75294 are 2, 3, 47, 89. Prime factorization of 75294 in exponential form is:

75294 = 2¹ × 3² × 47¹ × 89¹

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 75294

List of positive integer factors of 75294 that divides 75288 without a remainder.

1, 2, 3, 6, 9, 18, 47, 89, 94, 141, 178, 267, 282, 423, 534, 801, 846, 1602, 4183, 8366, 12549, 25098, 37647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75288 and 75294. The biggest common factor number is the GCF number.
So the greatest common factor 75288 and 75294 is 6.

Also check out the Least Common Multiple of 75288 and 75294