What is the Greatest Common Factor of 46688 and 46693?

Greatest common factor (GCF) of 46688 and 46693 is 1.

GCF(46688,46693) = 1

We will now calculate the prime factors of 46688 and 46693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46688 and 46693.

How to find the GCF of 46688 and 46693?

We will first find the prime factorization of 46688 and 46693. After we will calculate the factors of 46688 and 46693 and find the biggest common factor number .

Step-1: Prime Factorization of 46688

Prime factors of 46688 are 2, 1459. Prime factorization of 46688 in exponential form is:

46688 = 2⁵ × 1459¹

Step-2: Prime Factorization of 46693

Prime factors of 46693 are 53, 881. Prime factorization of 46693 in exponential form is:

46693 = 53¹ × 881¹

Step-3: Factors of 46688

List of positive integer factors of 46688 that divides 46688 without a remainder.

1, 2, 4, 8, 16, 32, 1459, 2918, 5836, 11672, 23344

Step-4: Factors of 46693

List of positive integer factors of 46693 that divides 46688 without a remainder.

1, 53, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46688 and 46693. The biggest common factor number is the GCF number.
So the greatest common factor 46688 and 46693 is 1.

Also check out the Least Common Multiple of 46688 and 46693