What is the Greatest Common Factor of 47998 and 48007?

Greatest common factor (GCF) of 47998 and 48007 is 1.

GCF(47998,48007) = 1

We will now calculate the prime factors of 47998 and 48007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47998 and 48007.

How to find the GCF of 47998 and 48007?

We will first find the prime factorization of 47998 and 48007. After we will calculate the factors of 47998 and 48007 and find the biggest common factor number .

Step-1: Prime Factorization of 47998

Prime factors of 47998 are 2, 103, 233. Prime factorization of 47998 in exponential form is:

47998 = 2¹ × 103¹ × 233¹

Step-2: Prime Factorization of 48007

Prime factors of 48007 are 61, 787. Prime factorization of 48007 in exponential form is:

48007 = 61¹ × 787¹

Step-3: Factors of 47998

List of positive integer factors of 47998 that divides 47998 without a remainder.

1, 2, 103, 206, 233, 466, 23999

Step-4: Factors of 48007

List of positive integer factors of 48007 that divides 47998 without a remainder.

1, 61, 787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47998 and 48007. The biggest common factor number is the GCF number.
So the greatest common factor 47998 and 48007 is 1.

Also check out the Least Common Multiple of 47998 and 48007