What is the Greatest Common Factor of 48983 and 49001?

Greatest common factor (GCF) of 48983 and 49001 is 1.

GCF(48983,49001) = 1

We will now calculate the prime factors of 48983 and 49001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48983 and 49001.

How to find the GCF of 48983 and 49001?

We will first find the prime factorization of 48983 and 49001. After we will calculate the factors of 48983 and 49001 and find the biggest common factor number .

Step-1: Prime Factorization of 48983

Prime factors of 48983 are 11, 61, 73. Prime factorization of 48983 in exponential form is:

48983 = 11¹ × 61¹ × 73¹

Step-2: Prime Factorization of 49001

Prime factors of 49001 are 19, 2579. Prime factorization of 49001 in exponential form is:

49001 = 19¹ × 2579¹

Step-3: Factors of 48983

List of positive integer factors of 48983 that divides 48983 without a remainder.

1, 11, 61, 73, 671, 803, 4453

Step-4: Factors of 49001

List of positive integer factors of 49001 that divides 48983 without a remainder.

1, 19, 2579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48983 and 49001. The biggest common factor number is the GCF number.
So the greatest common factor 48983 and 49001 is 1.

Also check out the Least Common Multiple of 48983 and 49001