What is the Greatest Common Factor of 46361 and 46375?

Greatest common factor (GCF) of 46361 and 46375 is 7.

GCF(46361,46375) = 7

We will now calculate the prime factors of 46361 and 46375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46361 and 46375.

How to find the GCF of 46361 and 46375?

We will first find the prime factorization of 46361 and 46375. After we will calculate the factors of 46361 and 46375 and find the biggest common factor number .

Step-1: Prime Factorization of 46361

Prime factors of 46361 are 7, 37, 179. Prime factorization of 46361 in exponential form is:

46361 = 7¹ × 37¹ × 179¹

Step-2: Prime Factorization of 46375

Prime factors of 46375 are 5, 7, 53. Prime factorization of 46375 in exponential form is:

46375 = 5³ × 7¹ × 53¹

Step-3: Factors of 46361

List of positive integer factors of 46361 that divides 46361 without a remainder.

1, 7, 37, 179, 259, 1253, 6623

Step-4: Factors of 46375

List of positive integer factors of 46375 that divides 46361 without a remainder.

1, 5, 7, 25, 35, 53, 125, 175, 265, 371, 875, 1325, 1855, 6625, 9275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46361 and 46375. The biggest common factor number is the GCF number.
So the greatest common factor 46361 and 46375 is 7.

Also check out the Least Common Multiple of 46361 and 46375