What is the Greatest Common Factor of 75341 and 75355?

Greatest common factor (GCF) of 75341 and 75355 is 7.

GCF(75341,75355) = 7

We will now calculate the prime factors of 75341 and 75355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75341 and 75355.

How to find the GCF of 75341 and 75355?

We will first find the prime factorization of 75341 and 75355. After we will calculate the factors of 75341 and 75355 and find the biggest common factor number .

Step-1: Prime Factorization of 75341

Prime factors of 75341 are 7, 47, 229. Prime factorization of 75341 in exponential form is:

75341 = 7¹ × 47¹ × 229¹

Step-2: Prime Factorization of 75355

Prime factors of 75355 are 5, 7, 2153. Prime factorization of 75355 in exponential form is:

75355 = 5¹ × 7¹ × 2153¹

Step-3: Factors of 75341

List of positive integer factors of 75341 that divides 75341 without a remainder.

1, 7, 47, 229, 329, 1603, 10763

Step-4: Factors of 75355

List of positive integer factors of 75355 that divides 75341 without a remainder.

1, 5, 7, 35, 2153, 10765, 15071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75341 and 75355. The biggest common factor number is the GCF number.
So the greatest common factor 75341 and 75355 is 7.

Also check out the Least Common Multiple of 75341 and 75355