What is the Greatest Common Factor of 46417 and 46424?

Greatest common factor (GCF) of 46417 and 46424 is 7.

GCF(46417,46424) = 7

We will now calculate the prime factors of 46417 and 46424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46417 and 46424.

How to find the GCF of 46417 and 46424?

We will first find the prime factorization of 46417 and 46424. After we will calculate the factors of 46417 and 46424 and find the biggest common factor number .

Step-1: Prime Factorization of 46417

Prime factors of 46417 are 7, 19, 349. Prime factorization of 46417 in exponential form is:

46417 = 7¹ × 19¹ × 349¹

Step-2: Prime Factorization of 46424

Prime factors of 46424 are 2, 7, 829. Prime factorization of 46424 in exponential form is:

46424 = 2³ × 7¹ × 829¹

Step-3: Factors of 46417

List of positive integer factors of 46417 that divides 46417 without a remainder.

1, 7, 19, 133, 349, 2443, 6631

Step-4: Factors of 46424

List of positive integer factors of 46424 that divides 46417 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 829, 1658, 3316, 5803, 6632, 11606, 23212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46417 and 46424. The biggest common factor number is the GCF number.
So the greatest common factor 46417 and 46424 is 7.

Also check out the Least Common Multiple of 46417 and 46424