What is the Greatest Common Factor of 75084 and 75103?

Greatest common factor (GCF) of 75084 and 75103 is 1.

GCF(75084,75103) = 1

We will now calculate the prime factors of 75084 and 75103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75084 and 75103.

How to find the GCF of 75084 and 75103?

We will first find the prime factorization of 75084 and 75103. After we will calculate the factors of 75084 and 75103 and find the biggest common factor number .

Step-1: Prime Factorization of 75084

Prime factors of 75084 are 2, 3, 6257. Prime factorization of 75084 in exponential form is:

75084 = 2² × 3¹ × 6257¹

Step-2: Prime Factorization of 75103

Prime factors of 75103 are 7, 10729. Prime factorization of 75103 in exponential form is:

75103 = 7¹ × 10729¹

Step-3: Factors of 75084

List of positive integer factors of 75084 that divides 75084 without a remainder.

1, 2, 3, 4, 6, 12, 6257, 12514, 18771, 25028, 37542

Step-4: Factors of 75103

List of positive integer factors of 75103 that divides 75084 without a remainder.

1, 7, 10729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75084 and 75103. The biggest common factor number is the GCF number.
So the greatest common factor 75084 and 75103 is 1.

Also check out the Least Common Multiple of 75084 and 75103