What is the Greatest Common Factor of 53785 and 53800?
Greatest common factor (GCF) of 53785 and 53800 is 5.
GCF(53785,53800) = 5
We will now calculate the prime factors of 53785 and 53800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53785 and 53800.
How to find the GCF of 53785 and 53800?
We will first find the prime factorization of 53785 and 53800. After we will calculate the factors of 53785 and 53800 and find the biggest common factor number .
Step-1: Prime Factorization of 53785
Prime factors of 53785 are 5, 31, 347. Prime factorization of 53785 in exponential form is:
53785 = 51 × 311 × 3471
Step-2: Prime Factorization of 53800
Prime factors of 53800 are 2, 5, 269. Prime factorization of 53800 in exponential form is:
53800 = 23 × 52 × 2691
Step-3: Factors of 53785
List of positive integer factors of 53785 that divides 53785 without a remainder.
1, 5, 31, 155, 347, 1735, 10757
Step-4: Factors of 53800
List of positive integer factors of 53800 that divides 53785 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 269, 538, 1076, 1345, 2152, 2690, 5380, 6725, 10760, 13450, 26900
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 53785 and 53800. The biggest common factor number is the GCF number.
So the greatest common factor 53785 and 53800 is 5.
Also check out the Least Common Multiple of 53785 and 53800
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