What is the Greatest Common Factor of 28648 and 28655?
Greatest common factor (GCF) of 28648 and 28655 is 1.
GCF(28648,28655) = 1
We will now calculate the prime factors of 28648 and 28655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28648 and 28655.
How to find the GCF of 28648 and 28655?
We will first find the prime factorization of 28648 and 28655. After we will calculate the factors of 28648 and 28655 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 28655
Prime factors of 28655 are 5, 11, 521. Prime factorization of 28655 in exponential form is:
28655 = 51 × 111 × 5211
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 28655
List of positive integer factors of 28655 that divides 28648 without a remainder.
1, 5, 11, 55, 521, 2605, 5731
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28648 and 28655. The biggest common factor number is the GCF number.
So the greatest common factor 28648 and 28655 is 1.
Also check out the Least Common Multiple of 28648 and 28655
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