What is the Greatest Common Factor of 75332 and 75338?

Greatest common factor (GCF) of 75332 and 75338 is 2.

GCF(75332,75338) = 2

We will now calculate the prime factors of 75332 and 75338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75332 and 75338.

How to find the GCF of 75332 and 75338?

We will first find the prime factorization of 75332 and 75338. After we will calculate the factors of 75332 and 75338 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 75338

Prime factors of 75338 are 2, 139, 271. Prime factorization of 75338 in exponential form is:

75338 = 2¹ × 139¹ × 271¹

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 75338

List of positive integer factors of 75338 that divides 75332 without a remainder.

1, 2, 139, 271, 278, 542, 37669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75332 and 75338. The biggest common factor number is the GCF number.
So the greatest common factor 75332 and 75338 is 2.

Also check out the Least Common Multiple of 75332 and 75338