What is the Greatest Common Factor of 75332 and 75339?

Greatest common factor (GCF) of 75332 and 75339 is 1.

GCF(75332,75339) = 1

We will now calculate the prime factors of 75332 and 75339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75332 and 75339.

How to find the GCF of 75332 and 75339?

We will first find the prime factorization of 75332 and 75339. After we will calculate the factors of 75332 and 75339 and find the biggest common factor number .

Step-1: Prime Factorization of 75332

Prime factors of 75332 are 2, 37, 509. Prime factorization of 75332 in exponential form is:

75332 = 2² × 37¹ × 509¹

Step-2: Prime Factorization of 75339

Prime factors of 75339 are 3, 11, 761. Prime factorization of 75339 in exponential form is:

75339 = 3² × 11¹ × 761¹

Step-3: Factors of 75332

List of positive integer factors of 75332 that divides 75332 without a remainder.

1, 2, 4, 37, 74, 148, 509, 1018, 2036, 18833, 37666

Step-4: Factors of 75339

List of positive integer factors of 75339 that divides 75332 without a remainder.

1, 3, 9, 11, 33, 99, 761, 2283, 6849, 8371, 25113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75332 and 75339. The biggest common factor number is the GCF number.
So the greatest common factor 75332 and 75339 is 1.

Also check out the Least Common Multiple of 75332 and 75339