What is the Greatest Common Factor of 27495 and 27512?
Greatest common factor (GCF) of 27495 and 27512 is 1.
GCF(27495,27512) = 1
We will now calculate the prime factors of 27495 and 27512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27495 and 27512.
How to find the GCF of 27495 and 27512?
We will first find the prime factorization of 27495 and 27512. After we will calculate the factors of 27495 and 27512 and find the biggest common factor number .
Step-1: Prime Factorization of 27495
Prime factors of 27495 are 3, 5, 13, 47. Prime factorization of 27495 in exponential form is:
27495 = 32 × 51 × 131 × 471
Step-2: Prime Factorization of 27512
Prime factors of 27512 are 2, 19, 181. Prime factorization of 27512 in exponential form is:
27512 = 23 × 191 × 1811
Step-3: Factors of 27495
List of positive integer factors of 27495 that divides 27495 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 47, 65, 117, 141, 195, 235, 423, 585, 611, 705, 1833, 2115, 3055, 5499, 9165
Step-4: Factors of 27512
List of positive integer factors of 27512 that divides 27495 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152, 181, 362, 724, 1448, 3439, 6878, 13756
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27495 and 27512. The biggest common factor number is the GCF number.
So the greatest common factor 27495 and 27512 is 1.
Also check out the Least Common Multiple of 27495 and 27512
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