What is the Greatest Common Factor of 57992 and 58003?

Greatest common factor (GCF) of 57992 and 58003 is 11.

GCF(57992,58003) = 11

We will now calculate the prime factors of 57992 and 58003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57992 and 58003.

How to find the GCF of 57992 and 58003?

We will first find the prime factorization of 57992 and 58003. After we will calculate the factors of 57992 and 58003 and find the biggest common factor number .

Step-1: Prime Factorization of 57992

Prime factors of 57992 are 2, 11, 659. Prime factorization of 57992 in exponential form is:

57992 = 2³ × 11¹ × 659¹

Step-2: Prime Factorization of 58003

Prime factors of 58003 are 11, 5273. Prime factorization of 58003 in exponential form is:

58003 = 11¹ × 5273¹

Step-3: Factors of 57992

List of positive integer factors of 57992 that divides 57992 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 659, 1318, 2636, 5272, 7249, 14498, 28996

Step-4: Factors of 58003

List of positive integer factors of 58003 that divides 57992 without a remainder.

1, 11, 5273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57992 and 58003. The biggest common factor number is the GCF number.
So the greatest common factor 57992 and 58003 is 11.

Also check out the Least Common Multiple of 57992 and 58003