What is the Greatest Common Factor of 46111 and 46124?

Greatest common factor (GCF) of 46111 and 46124 is 13.

GCF(46111,46124) = 13

We will now calculate the prime factors of 46111 and 46124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46111 and 46124.

How to find the GCF of 46111 and 46124?

We will first find the prime factorization of 46111 and 46124. After we will calculate the factors of 46111 and 46124 and find the biggest common factor number .

Step-1: Prime Factorization of 46111

Prime factors of 46111 are 13, 3547. Prime factorization of 46111 in exponential form is:

46111 = 13¹ × 3547¹

Step-2: Prime Factorization of 46124

Prime factors of 46124 are 2, 13, 887. Prime factorization of 46124 in exponential form is:

46124 = 2² × 13¹ × 887¹

Step-3: Factors of 46111

List of positive integer factors of 46111 that divides 46111 without a remainder.

1, 13, 3547

Step-4: Factors of 46124

List of positive integer factors of 46124 that divides 46111 without a remainder.

1, 2, 4, 13, 26, 52, 887, 1774, 3548, 11531, 23062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46111 and 46124. The biggest common factor number is the GCF number.
So the greatest common factor 46111 and 46124 is 13.

Also check out the Least Common Multiple of 46111 and 46124