What is the Greatest Common Factor of 46501 and 46514?

Greatest common factor (GCF) of 46501 and 46514 is 13.

GCF(46501,46514) = 13

We will now calculate the prime factors of 46501 and 46514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46501 and 46514.

How to find the GCF of 46501 and 46514?

We will first find the prime factorization of 46501 and 46514. After we will calculate the factors of 46501 and 46514 and find the biggest common factor number .

Step-1: Prime Factorization of 46501

Prime factors of 46501 are 7, 13, 73. Prime factorization of 46501 in exponential form is:

46501 = 7² × 13¹ × 73¹

Step-2: Prime Factorization of 46514

Prime factors of 46514 are 2, 13, 1789. Prime factorization of 46514 in exponential form is:

46514 = 2¹ × 13¹ × 1789¹

Step-3: Factors of 46501

List of positive integer factors of 46501 that divides 46501 without a remainder.

1, 7, 13, 49, 73, 91, 511, 637, 949, 3577, 6643

Step-4: Factors of 46514

List of positive integer factors of 46514 that divides 46501 without a remainder.

1, 2, 13, 26, 1789, 3578, 23257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46501 and 46514. The biggest common factor number is the GCF number.
So the greatest common factor 46501 and 46514 is 13.

Also check out the Least Common Multiple of 46501 and 46514