What is the Greatest Common Factor of 52933 and 52949?

Greatest common factor (GCF) of 52933 and 52949 is 1.

GCF(52933,52949) = 1

We will now calculate the prime factors of 52933 and 52949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52933 and 52949.

How to find the GCF of 52933 and 52949?

We will first find the prime factorization of 52933 and 52949. After we will calculate the factors of 52933 and 52949 and find the biggest common factor number .

Step-1: Prime Factorization of 52933

Prime factors of 52933 are 43, 1231. Prime factorization of 52933 in exponential form is:

52933 = 43¹ × 1231¹

Step-2: Prime Factorization of 52949

Prime factors of 52949 are 13, 4073. Prime factorization of 52949 in exponential form is:

52949 = 13¹ × 4073¹

Step-3: Factors of 52933

List of positive integer factors of 52933 that divides 52933 without a remainder.

1, 43, 1231

Step-4: Factors of 52949

List of positive integer factors of 52949 that divides 52933 without a remainder.

1, 13, 4073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52933 and 52949. The biggest common factor number is the GCF number.
So the greatest common factor 52933 and 52949 is 1.

Also check out the Least Common Multiple of 52933 and 52949