What is the Greatest Common Factor of 27434 and 27454?
Greatest common factor (GCF) of 27434 and 27454 is 2.
GCF(27434,27454) = 2
We will now calculate the prime factors of 27434 and 27454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27434 and 27454.
How to find the GCF of 27434 and 27454?
We will first find the prime factorization of 27434 and 27454. After we will calculate the factors of 27434 and 27454 and find the biggest common factor number .
Step-1: Prime Factorization of 27434
Prime factors of 27434 are 2, 11, 29, 43. Prime factorization of 27434 in exponential form is:
27434 = 21 × 111 × 291 × 431
Step-2: Prime Factorization of 27454
Prime factors of 27454 are 2, 7, 37, 53. Prime factorization of 27454 in exponential form is:
27454 = 21 × 71 × 371 × 531
Step-3: Factors of 27434
List of positive integer factors of 27434 that divides 27434 without a remainder.
1, 2, 11, 22, 29, 43, 58, 86, 319, 473, 638, 946, 1247, 2494, 13717
Step-4: Factors of 27454
List of positive integer factors of 27454 that divides 27434 without a remainder.
1, 2, 7, 14, 37, 53, 74, 106, 259, 371, 518, 742, 1961, 3922, 13727
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27434 and 27454. The biggest common factor number is the GCF number.
So the greatest common factor 27434 and 27454 is 2.
Also check out the Least Common Multiple of 27434 and 27454
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