What is the Greatest Common Factor of 46501 and 46508?

Greatest common factor (GCF) of 46501 and 46508 is 7.

GCF(46501,46508) = 7

We will now calculate the prime factors of 46501 and 46508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46501 and 46508.

How to find the GCF of 46501 and 46508?

We will first find the prime factorization of 46501 and 46508. After we will calculate the factors of 46501 and 46508 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 46508

Prime factors of 46508 are 2, 7, 11, 151. Prime factorization of 46508 in exponential form is:

46508 = 2² × 7¹ × 11¹ × 151¹

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 46508

List of positive integer factors of 46508 that divides 46501 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 151, 154, 302, 308, 604, 1057, 1661, 2114, 3322, 4228, 6644, 11627, 23254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46501 and 46508. The biggest common factor number is the GCF number.
So the greatest common factor 46501 and 46508 is 7.

Also check out the Least Common Multiple of 46501 and 46508