What is the Greatest Common Factor of 57939 and 57949?

Greatest common factor (GCF) of 57939 and 57949 is 1.

GCF(57939,57949) = 1

We will now calculate the prime factors of 57939 and 57949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57939 and 57949.

How to find the GCF of 57939 and 57949?

We will first find the prime factorization of 57939 and 57949. After we will calculate the factors of 57939 and 57949 and find the biggest common factor number .

Step-1: Prime Factorization of 57939

Prime factors of 57939 are 3, 7, 31, 89. Prime factorization of 57939 in exponential form is:

57939 = 3¹ × 7¹ × 31¹ × 89¹

Step-2: Prime Factorization of 57949

Prime factors of 57949 are 167, 347. Prime factorization of 57949 in exponential form is:

57949 = 167¹ × 347¹

Step-3: Factors of 57939

List of positive integer factors of 57939 that divides 57939 without a remainder.

1, 3, 7, 21, 31, 89, 93, 217, 267, 623, 651, 1869, 2759, 8277, 19313

Step-4: Factors of 57949

List of positive integer factors of 57949 that divides 57939 without a remainder.

1, 167, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57939 and 57949. The biggest common factor number is the GCF number.
So the greatest common factor 57939 and 57949 is 1.

Also check out the Least Common Multiple of 57939 and 57949