What is the Greatest Common Factor of 57950 and 57969?

Greatest common factor (GCF) of 57950 and 57969 is 19.

GCF(57950,57969) = 19

We will now calculate the prime factors of 57950 and 57969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57950 and 57969.

How to find the GCF of 57950 and 57969?

We will first find the prime factorization of 57950 and 57969. After we will calculate the factors of 57950 and 57969 and find the biggest common factor number .

Step-1: Prime Factorization of 57950

Prime factors of 57950 are 2, 5, 19, 61. Prime factorization of 57950 in exponential form is:

57950 = 2¹ × 5² × 19¹ × 61¹

Step-2: Prime Factorization of 57969

Prime factors of 57969 are 3, 19, 113. Prime factorization of 57969 in exponential form is:

57969 = 3³ × 19¹ × 113¹

Step-3: Factors of 57950

List of positive integer factors of 57950 that divides 57950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 61, 95, 122, 190, 305, 475, 610, 950, 1159, 1525, 2318, 3050, 5795, 11590, 28975

Step-4: Factors of 57969

List of positive integer factors of 57969 that divides 57950 without a remainder.

1, 3, 9, 19, 27, 57, 113, 171, 339, 513, 1017, 2147, 3051, 6441, 19323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57950 and 57969. The biggest common factor number is the GCF number.
So the greatest common factor 57950 and 57969 is 19.

Also check out the Least Common Multiple of 57950 and 57969