What is the Greatest Common Factor of 75054 and 75059?

Greatest common factor (GCF) of 75054 and 75059 is 1.

GCF(75054,75059) = 1

We will now calculate the prime factors of 75054 and 75059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75054 and 75059.

How to find the GCF of 75054 and 75059?

We will first find the prime factorization of 75054 and 75059. After we will calculate the factors of 75054 and 75059 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75059

Prime factors of 75059 are 47, 1597. Prime factorization of 75059 in exponential form is:

75059 = 47¹ × 1597¹

Step-3: Factors of 75054

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

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

Step-4: Factors of 75059

List of positive integer factors of 75059 that divides 75054 without a remainder.

1, 47, 1597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75054 and 75059. The biggest common factor number is the GCF number.
So the greatest common factor 75054 and 75059 is 1.

Also check out the Least Common Multiple of 75054 and 75059