What is the Greatest Common Factor of 21476 and 21482?
Greatest common factor (GCF) of 21476 and 21482 is 2.
GCF(21476,21482) = 2
We will now calculate the prime factors of 21476 and 21482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21476 and 21482.
How to find the GCF of 21476 and 21482?
We will first find the prime factorization of 21476 and 21482. After we will calculate the factors of 21476 and 21482 and find the biggest common factor number .
Step-1: Prime Factorization of 21476
Prime factors of 21476 are 2, 7, 13, 59. Prime factorization of 21476 in exponential form is:
21476 = 22 × 71 × 131 × 591
Step-2: Prime Factorization of 21482
Prime factors of 21482 are 2, 23, 467. Prime factorization of 21482 in exponential form is:
21482 = 21 × 231 × 4671
Step-3: Factors of 21476
List of positive integer factors of 21476 that divides 21476 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 59, 91, 118, 182, 236, 364, 413, 767, 826, 1534, 1652, 3068, 5369, 10738
Step-4: Factors of 21482
List of positive integer factors of 21482 that divides 21476 without a remainder.
1, 2, 23, 46, 467, 934, 10741
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 21476 and 21482. The biggest common factor number is the GCF number.
So the greatest common factor 21476 and 21482 is 2.
Also check out the Least Common Multiple of 21476 and 21482
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