What is the Greatest Common Factor of 57868 and 57880?
Greatest common factor (GCF) of 57868 and 57880 is 4.
GCF(57868,57880) = 4
We will now calculate the prime factors of 57868 and 57880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57868 and 57880.
How to find the GCF of 57868 and 57880?
We will first find the prime factorization of 57868 and 57880. After we will calculate the factors of 57868 and 57880 and find the biggest common factor number .
Step-1: Prime Factorization of 57868
Prime factors of 57868 are 2, 17, 23, 37. Prime factorization of 57868 in exponential form is:
57868 = 22 × 171 × 231 × 371
Step-2: Prime Factorization of 57880
Prime factors of 57880 are 2, 5, 1447. Prime factorization of 57880 in exponential form is:
57880 = 23 × 51 × 14471
Step-3: Factors of 57868
List of positive integer factors of 57868 that divides 57868 without a remainder.
1, 2, 4, 17, 23, 34, 37, 46, 68, 74, 92, 148, 391, 629, 782, 851, 1258, 1564, 1702, 2516, 3404, 14467, 28934
Step-4: Factors of 57880
List of positive integer factors of 57880 that divides 57868 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 1447, 2894, 5788, 7235, 11576, 14470, 28940
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 57868 and 57880. The biggest common factor number is the GCF number.
So the greatest common factor 57868 and 57880 is 4.
Also check out the Least Common Multiple of 57868 and 57880
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