What is the Greatest Common Factor of 46611 and 46628?

Greatest common factor (GCF) of 46611 and 46628 is 1.

GCF(46611,46628) = 1

We will now calculate the prime factors of 46611 and 46628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46611 and 46628.

How to find the GCF of 46611 and 46628?

We will first find the prime factorization of 46611 and 46628. After we will calculate the factors of 46611 and 46628 and find the biggest common factor number .

Step-1: Prime Factorization of 46611

Prime factors of 46611 are 3, 5179. Prime factorization of 46611 in exponential form is:

46611 = 3² × 5179¹

Step-2: Prime Factorization of 46628

Prime factors of 46628 are 2, 11657. Prime factorization of 46628 in exponential form is:

46628 = 2² × 11657¹

Step-3: Factors of 46611

List of positive integer factors of 46611 that divides 46611 without a remainder.

1, 3, 9, 5179, 15537

Step-4: Factors of 46628

List of positive integer factors of 46628 that divides 46611 without a remainder.

1, 2, 4, 11657, 23314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46611 and 46628. The biggest common factor number is the GCF number.
So the greatest common factor 46611 and 46628 is 1.

Also check out the Least Common Multiple of 46611 and 46628