What is the Greatest Common Factor of 38503 and 38522?
Greatest common factor (GCF) of 38503 and 38522 is 1.
GCF(38503,38522) = 1
We will now calculate the prime factors of 38503 and 38522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38503 and 38522.
How to find the GCF of 38503 and 38522?
We will first find the prime factorization of 38503 and 38522. After we will calculate the factors of 38503 and 38522 and find the biggest common factor number .
Step-1: Prime Factorization of 38503
Prime factors of 38503 are 139, 277. Prime factorization of 38503 in exponential form is:
38503 = 1391 × 2771
Step-2: Prime Factorization of 38522
Prime factors of 38522 are 2, 11, 17, 103. Prime factorization of 38522 in exponential form is:
38522 = 21 × 111 × 171 × 1031
Step-3: Factors of 38503
List of positive integer factors of 38503 that divides 38503 without a remainder.
1, 139, 277
Step-4: Factors of 38522
List of positive integer factors of 38522 that divides 38503 without a remainder.
1, 2, 11, 17, 22, 34, 103, 187, 206, 374, 1133, 1751, 2266, 3502, 19261
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38503 and 38522. The biggest common factor number is the GCF number.
So the greatest common factor 38503 and 38522 is 1.
Also check out the Least Common Multiple of 38503 and 38522
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