What is the Greatest Common Factor of 38247 and 38264?
Greatest common factor (GCF) of 38247 and 38264 is 1.
GCF(38247,38264) = 1
We will now calculate the prime factors of 38247 and 38264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38247 and 38264.
How to find the GCF of 38247 and 38264?
We will first find the prime factorization of 38247 and 38264. After we will calculate the factors of 38247 and 38264 and find the biggest common factor number .
Step-1: Prime Factorization of 38247
Prime factors of 38247 are 3, 11, 19, 61. Prime factorization of 38247 in exponential form is:
38247 = 31 × 111 × 191 × 611
Step-2: Prime Factorization of 38264
Prime factors of 38264 are 2, 4783. Prime factorization of 38264 in exponential form is:
38264 = 23 × 47831
Step-3: Factors of 38247
List of positive integer factors of 38247 that divides 38247 without a remainder.
1, 3, 11, 19, 33, 57, 61, 183, 209, 627, 671, 1159, 2013, 3477, 12749
Step-4: Factors of 38264
List of positive integer factors of 38264 that divides 38247 without a remainder.
1, 2, 4, 8, 4783, 9566, 19132
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38247 and 38264. The biggest common factor number is the GCF number.
So the greatest common factor 38247 and 38264 is 1.
Also check out the Least Common Multiple of 38247 and 38264
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