What is the Greatest Common Factor of 28832 and 28850?
Greatest common factor (GCF) of 28832 and 28850 is 2.
GCF(28832,28850) = 2
We will now calculate the prime factors of 28832 and 28850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28832 and 28850.
How to find the GCF of 28832 and 28850?
We will first find the prime factorization of 28832 and 28850. After we will calculate the factors of 28832 and 28850 and find the biggest common factor number .
Step-1: Prime Factorization of 28832
Prime factors of 28832 are 2, 17, 53. Prime factorization of 28832 in exponential form is:
28832 = 25 × 171 × 531
Step-2: Prime Factorization of 28850
Prime factors of 28850 are 2, 5, 577. Prime factorization of 28850 in exponential form is:
28850 = 21 × 52 × 5771
Step-3: Factors of 28832
List of positive integer factors of 28832 that divides 28832 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 53, 68, 106, 136, 212, 272, 424, 544, 848, 901, 1696, 1802, 3604, 7208, 14416
Step-4: Factors of 28850
List of positive integer factors of 28850 that divides 28832 without a remainder.
1, 2, 5, 10, 25, 50, 577, 1154, 2885, 5770, 14425
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28832 and 28850. The biggest common factor number is the GCF number.
So the greatest common factor 28832 and 28850 is 2.
Also check out the Least Common Multiple of 28832 and 28850
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