What is the Greatest Common Factor of 38084 and 38102?
Greatest common factor (GCF) of 38084 and 38102 is 2.
GCF(38084,38102) = 2
We will now calculate the prime factors of 38084 and 38102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38084 and 38102.
How to find the GCF of 38084 and 38102?
We will first find the prime factorization of 38084 and 38102. After we will calculate the factors of 38084 and 38102 and find the biggest common factor number .
Step-1: Prime Factorization of 38084
Prime factors of 38084 are 2, 9521. Prime factorization of 38084 in exponential form is:
38084 = 22 × 95211
Step-2: Prime Factorization of 38102
Prime factors of 38102 are 2, 19051. Prime factorization of 38102 in exponential form is:
38102 = 21 × 190511
Step-3: Factors of 38084
List of positive integer factors of 38084 that divides 38084 without a remainder.
1, 2, 4, 9521, 19042
Step-4: Factors of 38102
List of positive integer factors of 38102 that divides 38084 without a remainder.
1, 2, 19051
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38084 and 38102. The biggest common factor number is the GCF number.
So the greatest common factor 38084 and 38102 is 2.
Also check out the Least Common Multiple of 38084 and 38102
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