What is the Greatest Common Factor of 46501 and 46515?

Greatest common factor (GCF) of 46501 and 46515 is 7.

GCF(46501,46515) = 7

We will now calculate the prime factors of 46501 and 46515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46501 and 46515.

How to find the GCF of 46501 and 46515?

We will first find the prime factorization of 46501 and 46515. After we will calculate the factors of 46501 and 46515 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 46515

Prime factors of 46515 are 3, 5, 7, 443. Prime factorization of 46515 in exponential form is:

46515 = 3¹ × 5¹ × 7¹ × 443¹

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 46515

List of positive integer factors of 46515 that divides 46501 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 443, 1329, 2215, 3101, 6645, 9303, 15505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46501 and 46515. The biggest common factor number is the GCF number.
So the greatest common factor 46501 and 46515 is 7.

Also check out the Least Common Multiple of 46501 and 46515