What is the Greatest Common Factor of 28375 and 28385?
Greatest common factor (GCF) of 28375 and 28385 is 5.
GCF(28375,28385) = 5
We will now calculate the prime factors of 28375 and 28385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28375 and 28385.
How to find the GCF of 28375 and 28385?
We will first find the prime factorization of 28375 and 28385. After we will calculate the factors of 28375 and 28385 and find the biggest common factor number .
Step-1: Prime Factorization of 28375
Prime factors of 28375 are 5, 227. Prime factorization of 28375 in exponential form is:
28375 = 53 × 2271
Step-2: Prime Factorization of 28385
Prime factors of 28385 are 5, 7, 811. Prime factorization of 28385 in exponential form is:
28385 = 51 × 71 × 8111
Step-3: Factors of 28375
List of positive integer factors of 28375 that divides 28375 without a remainder.
1, 5, 25, 125, 227, 1135, 5675
Step-4: Factors of 28385
List of positive integer factors of 28385 that divides 28375 without a remainder.
1, 5, 7, 35, 811, 4055, 5677
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28375 and 28385. The biggest common factor number is the GCF number.
So the greatest common factor 28375 and 28385 is 5.
Also check out the Least Common Multiple of 28375 and 28385
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