What is the Greatest Common Factor of 57969 and 57988?

Greatest common factor (GCF) of 57969 and 57988 is 19.

GCF(57969,57988) = 19

We will now calculate the prime factors of 57969 and 57988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57969 and 57988.

How to find the GCF of 57969 and 57988?

We will first find the prime factorization of 57969 and 57988. After we will calculate the factors of 57969 and 57988 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57988

Prime factors of 57988 are 2, 7, 19, 109. Prime factorization of 57988 in exponential form is:

57988 = 2² × 7¹ × 19¹ × 109¹

Step-3: Factors of 57969

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

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

Step-4: Factors of 57988

List of positive integer factors of 57988 that divides 57969 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 109, 133, 218, 266, 436, 532, 763, 1526, 2071, 3052, 4142, 8284, 14497, 28994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57969 and 57988. The biggest common factor number is the GCF number.
So the greatest common factor 57969 and 57988 is 19.

Also check out the Least Common Multiple of 57969 and 57988