What is the Greatest Common Factor of 46998 and 47012?

Greatest common factor (GCF) of 46998 and 47012 is 14.

GCF(46998,47012) = 14

We will now calculate the prime factors of 46998 and 47012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46998 and 47012.

How to find the GCF of 46998 and 47012?

We will first find the prime factorization of 46998 and 47012. After we will calculate the factors of 46998 and 47012 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 47012

Prime factors of 47012 are 2, 7, 23, 73. Prime factorization of 47012 in exponential form is:

47012 = 2² × 7¹ × 23¹ × 73¹

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 47012

List of positive integer factors of 47012 that divides 46998 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 73, 92, 146, 161, 292, 322, 511, 644, 1022, 1679, 2044, 3358, 6716, 11753, 23506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46998 and 47012. The biggest common factor number is the GCF number.
So the greatest common factor 46998 and 47012 is 14.

Also check out the Least Common Multiple of 46998 and 47012