What is the Greatest Common Factor of 46445 and 46463?

Greatest common factor (GCF) of 46445 and 46463 is 1.

GCF(46445,46463) = 1

We will now calculate the prime factors of 46445 and 46463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46445 and 46463.

How to find the GCF of 46445 and 46463?

We will first find the prime factorization of 46445 and 46463. After we will calculate the factors of 46445 and 46463 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 46463

Prime factors of 46463 are 97, 479. Prime factorization of 46463 in exponential form is:

46463 = 97¹ × 479¹

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 46463

List of positive integer factors of 46463 that divides 46445 without a remainder.

1, 97, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46445 and 46463. The biggest common factor number is the GCF number.
So the greatest common factor 46445 and 46463 is 1.

Also check out the Least Common Multiple of 46445 and 46463