What is the Greatest Common Factor of 46588 and 46607?

Greatest common factor (GCF) of 46588 and 46607 is 19.

GCF(46588,46607) = 19

We will now calculate the prime factors of 46588 and 46607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46588 and 46607.

How to find the GCF of 46588 and 46607?

We will first find the prime factorization of 46588 and 46607. After we will calculate the factors of 46588 and 46607 and find the biggest common factor number .

Step-1: Prime Factorization of 46588

Prime factors of 46588 are 2, 19, 613. Prime factorization of 46588 in exponential form is:

46588 = 2² × 19¹ × 613¹

Step-2: Prime Factorization of 46607

Prime factors of 46607 are 11, 19, 223. Prime factorization of 46607 in exponential form is:

46607 = 11¹ × 19¹ × 223¹

Step-3: Factors of 46588

List of positive integer factors of 46588 that divides 46588 without a remainder.

1, 2, 4, 19, 38, 76, 613, 1226, 2452, 11647, 23294

Step-4: Factors of 46607

List of positive integer factors of 46607 that divides 46588 without a remainder.

1, 11, 19, 209, 223, 2453, 4237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46588 and 46607. The biggest common factor number is the GCF number.
So the greatest common factor 46588 and 46607 is 19.

Also check out the Least Common Multiple of 46588 and 46607