What is the Greatest Common Factor of 8253 and 8272?
Greatest common factor (GCF) of 8253 and 8272 is 1.
GCF(8253,8272) = 1
We will now calculate the prime factors of 8253 and 8272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8253 and 8272.
How to find the GCF of 8253 and 8272?
We will first find the prime factorization of 8253 and 8272. After we will calculate the factors of 8253 and 8272 and find the biggest common factor number .
Step-1: Prime Factorization of 8253
Prime factors of 8253 are 3, 7, 131. Prime factorization of 8253 in exponential form is:
8253 = 32 × 71 × 1311
Step-2: Prime Factorization of 8272
Prime factors of 8272 are 2, 11, 47. Prime factorization of 8272 in exponential form is:
8272 = 24 × 111 × 471
Step-3: Factors of 8253
List of positive integer factors of 8253 that divides 8253 without a remainder.
1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751
Step-4: Factors of 8272
List of positive integer factors of 8272 that divides 8253 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8253 and 8272. The biggest common factor number is the GCF number.
So the greatest common factor 8253 and 8272 is 1.
Also check out the Least Common Multiple of 8253 and 8272
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