What is the Greatest Common Factor of 28634 and 28642?
Greatest common factor (GCF) of 28634 and 28642 is 2.
GCF(28634,28642) = 2
We will now calculate the prime factors of 28634 and 28642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28634 and 28642.
How to find the GCF of 28634 and 28642?
We will first find the prime factorization of 28634 and 28642. After we will calculate the factors of 28634 and 28642 and find the biggest common factor number .
Step-1: Prime Factorization of 28634
Prime factors of 28634 are 2, 103, 139. Prime factorization of 28634 in exponential form is:
28634 = 21 × 1031 × 1391
Step-2: Prime Factorization of 28642
Prime factors of 28642 are 2, 14321. Prime factorization of 28642 in exponential form is:
28642 = 21 × 143211
Step-3: Factors of 28634
List of positive integer factors of 28634 that divides 28634 without a remainder.
1, 2, 103, 139, 206, 278, 14317
Step-4: Factors of 28642
List of positive integer factors of 28642 that divides 28634 without a remainder.
1, 2, 14321
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28634 and 28642. The biggest common factor number is the GCF number.
So the greatest common factor 28634 and 28642 is 2.
Also check out the Least Common Multiple of 28634 and 28642
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