What is the Greatest Common Factor of 46998 and 47017?

Greatest common factor (GCF) of 46998 and 47017 is 1.

GCF(46998,47017) = 1

We will now calculate the prime factors of 46998 and 47017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46998 and 47017.

How to find the GCF of 46998 and 47017?

We will first find the prime factorization of 46998 and 47017. After we will calculate the factors of 46998 and 47017 and find the biggest common factor number .

Step-1: Prime Factorization of 46998

Prime factors of 46998 are 2, 3, 7, 373. Prime factorization of 46998 in exponential form is:

46998 = 2¹ × 3² × 7¹ × 373¹

Step-2: Prime Factorization of 47017

Prime factors of 47017 are 47017. Prime factorization of 47017 in exponential form is:

47017 = 47017¹

Step-3: Factors of 46998

List of positive integer factors of 46998 that divides 46998 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 373, 746, 1119, 2238, 2611, 3357, 5222, 6714, 7833, 15666, 23499

Step-4: Factors of 47017

List of positive integer factors of 47017 that divides 46998 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46998 and 47017. The biggest common factor number is the GCF number.
So the greatest common factor 46998 and 47017 is 1.

Also check out the Least Common Multiple of 46998 and 47017