What is the Greatest Common Factor of 46445 and 46465?

Greatest common factor (GCF) of 46445 and 46465 is 5.

GCF(46445,46465) = 5

We will now calculate the prime factors of 46445 and 46465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46445 and 46465.

How to find the GCF of 46445 and 46465?

We will first find the prime factorization of 46445 and 46465. After we will calculate the factors of 46445 and 46465 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 46465

Prime factors of 46465 are 5, 9293. Prime factorization of 46465 in exponential form is:

46465 = 5¹ × 9293¹

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 46465

List of positive integer factors of 46465 that divides 46445 without a remainder.

1, 5, 9293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46445 and 46465. The biggest common factor number is the GCF number.
So the greatest common factor 46445 and 46465 is 5.

Also check out the Least Common Multiple of 46445 and 46465