What is the Greatest Common Factor of 28648 and 28654?
Greatest common factor (GCF) of 28648 and 28654 is 2.
GCF(28648,28654) = 2
We will now calculate the prime factors of 28648 and 28654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28648 and 28654.
How to find the GCF of 28648 and 28654?
We will first find the prime factorization of 28648 and 28654. After we will calculate the factors of 28648 and 28654 and find the biggest common factor number .
Step-1: Prime Factorization of 28648
Prime factors of 28648 are 2, 3581. Prime factorization of 28648 in exponential form is:
28648 = 23 × 35811
Step-2: Prime Factorization of 28654
Prime factors of 28654 are 2, 14327. Prime factorization of 28654 in exponential form is:
28654 = 21 × 143271
Step-3: Factors of 28648
List of positive integer factors of 28648 that divides 28648 without a remainder.
1, 2, 4, 8, 3581, 7162, 14324
Step-4: Factors of 28654
List of positive integer factors of 28654 that divides 28648 without a remainder.
1, 2, 14327
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28648 and 28654. The biggest common factor number is the GCF number.
So the greatest common factor 28648 and 28654 is 2.
Also check out the Least Common Multiple of 28648 and 28654
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