What is the Greatest Common Factor of 46657 and 46672?

Greatest common factor (GCF) of 46657 and 46672 is 1.

GCF(46657,46672) = 1

We will now calculate the prime factors of 46657 and 46672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46657 and 46672.

How to find the GCF of 46657 and 46672?

We will first find the prime factorization of 46657 and 46672. After we will calculate the factors of 46657 and 46672 and find the biggest common factor number .

Step-1: Prime Factorization of 46657

Prime factors of 46657 are 13, 37, 97. Prime factorization of 46657 in exponential form is:

46657 = 13¹ × 37¹ × 97¹

Step-2: Prime Factorization of 46672

Prime factors of 46672 are 2, 2917. Prime factorization of 46672 in exponential form is:

46672 = 2⁴ × 2917¹

Step-3: Factors of 46657

List of positive integer factors of 46657 that divides 46657 without a remainder.

1, 13, 37, 97, 481, 1261, 3589

Step-4: Factors of 46672

List of positive integer factors of 46672 that divides 46657 without a remainder.

1, 2, 4, 8, 16, 2917, 5834, 11668, 23336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46657 and 46672. The biggest common factor number is the GCF number.
So the greatest common factor 46657 and 46672 is 1.

Also check out the Least Common Multiple of 46657 and 46672