What is the Greatest Common Factor of 8444 and 8453?
Greatest common factor (GCF) of 8444 and 8453 is 1.
GCF(8444,8453) = 1
We will now calculate the prime factors of 8444 and 8453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8444 and 8453.
How to find the GCF of 8444 and 8453?
We will first find the prime factorization of 8444 and 8453. After we will calculate the factors of 8444 and 8453 and find the biggest common factor number .
Step-1: Prime Factorization of 8444
Prime factors of 8444 are 2, 2111. Prime factorization of 8444 in exponential form is:
8444 = 22 × 21111
Step-2: Prime Factorization of 8453
Prime factors of 8453 are 79, 107. Prime factorization of 8453 in exponential form is:
8453 = 791 × 1071
Step-3: Factors of 8444
List of positive integer factors of 8444 that divides 8444 without a remainder.
1, 2, 4, 2111, 4222
Step-4: Factors of 8453
List of positive integer factors of 8453 that divides 8444 without a remainder.
1, 79, 107
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8444 and 8453. The biggest common factor number is the GCF number.
So the greatest common factor 8444 and 8453 is 1.
Also check out the Least Common Multiple of 8444 and 8453
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