What is the Greatest Common Factor of 46445 and 46459?

Greatest common factor (GCF) of 46445 and 46459 is 7.

GCF(46445,46459) = 7

We will now calculate the prime factors of 46445 and 46459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46445 and 46459.

How to find the GCF of 46445 and 46459?

We will first find the prime factorization of 46445 and 46459. After we will calculate the factors of 46445 and 46459 and find the biggest common factor number .

Step-1: Prime Factorization of 46445

Prime factors of 46445 are 5, 7, 1327. Prime factorization of 46445 in exponential form is:

46445 = 5¹ × 7¹ × 1327¹

Step-2: Prime Factorization of 46459

Prime factors of 46459 are 7, 6637. Prime factorization of 46459 in exponential form is:

46459 = 7¹ × 6637¹

Step-3: Factors of 46445

List of positive integer factors of 46445 that divides 46445 without a remainder.

1, 5, 7, 35, 1327, 6635, 9289

Step-4: Factors of 46459

List of positive integer factors of 46459 that divides 46445 without a remainder.

1, 7, 6637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46445 and 46459. The biggest common factor number is the GCF number.
So the greatest common factor 46445 and 46459 is 7.

Also check out the Least Common Multiple of 46445 and 46459