What is the Greatest Common Factor of 46996 and 47009?

Greatest common factor (GCF) of 46996 and 47009 is 1.

GCF(46996,47009) = 1

We will now calculate the prime factors of 46996 and 47009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46996 and 47009.

How to find the GCF of 46996 and 47009?

We will first find the prime factorization of 46996 and 47009. After we will calculate the factors of 46996 and 47009 and find the biggest common factor number .

Step-1: Prime Factorization of 46996

Prime factors of 46996 are 2, 31, 379. Prime factorization of 46996 in exponential form is:

46996 = 2² × 31¹ × 379¹

Step-2: Prime Factorization of 47009

Prime factors of 47009 are 29, 1621. Prime factorization of 47009 in exponential form is:

47009 = 29¹ × 1621¹

Step-3: Factors of 46996

List of positive integer factors of 46996 that divides 46996 without a remainder.

1, 2, 4, 31, 62, 124, 379, 758, 1516, 11749, 23498

Step-4: Factors of 47009

List of positive integer factors of 47009 that divides 46996 without a remainder.

1, 29, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46996 and 47009. The biggest common factor number is the GCF number.
So the greatest common factor 46996 and 47009 is 1.

Also check out the Least Common Multiple of 46996 and 47009