What is the Greatest Common Factor of 75039 and 75054?

Greatest common factor (GCF) of 75039 and 75054 is 3.

GCF(75039,75054) = 3

We will now calculate the prime factors of 75039 and 75054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75039 and 75054.

How to find the GCF of 75039 and 75054?

We will first find the prime factorization of 75039 and 75054. After we will calculate the factors of 75039 and 75054 and find the biggest common factor number .

Step-1: Prime Factorization of 75039

Prime factors of 75039 are 3, 25013. Prime factorization of 75039 in exponential form is:

75039 = 3¹ × 25013¹

Step-2: Prime Factorization of 75054

Prime factors of 75054 are 2, 3, 7, 1787. Prime factorization of 75054 in exponential form is:

75054 = 2¹ × 3¹ × 7¹ × 1787¹

Step-3: Factors of 75039

List of positive integer factors of 75039 that divides 75039 without a remainder.

1, 3, 25013

Step-4: Factors of 75054

List of positive integer factors of 75054 that divides 75039 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1787, 3574, 5361, 10722, 12509, 25018, 37527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75039 and 75054. The biggest common factor number is the GCF number.
So the greatest common factor 75039 and 75054 is 3.

Also check out the Least Common Multiple of 75039 and 75054