What is the Greatest Common Factor of 26124 and 26144?
Greatest common factor (GCF) of 26124 and 26144 is 4.
GCF(26124,26144) = 4
We will now calculate the prime factors of 26124 and 26144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26124 and 26144.
How to find the GCF of 26124 and 26144?
We will first find the prime factorization of 26124 and 26144. After we will calculate the factors of 26124 and 26144 and find the biggest common factor number .
Step-1: Prime Factorization of 26124
Prime factors of 26124 are 2, 3, 7, 311. Prime factorization of 26124 in exponential form is:
26124 = 22 × 31 × 71 × 3111
Step-2: Prime Factorization of 26144
Prime factors of 26144 are 2, 19, 43. Prime factorization of 26144 in exponential form is:
26144 = 25 × 191 × 431
Step-3: Factors of 26124
List of positive integer factors of 26124 that divides 26124 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 311, 622, 933, 1244, 1866, 2177, 3732, 4354, 6531, 8708, 13062
Step-4: Factors of 26144
List of positive integer factors of 26144 that divides 26124 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 43, 76, 86, 152, 172, 304, 344, 608, 688, 817, 1376, 1634, 3268, 6536, 13072
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26124 and 26144. The biggest common factor number is the GCF number.
So the greatest common factor 26124 and 26144 is 4.
Also check out the Least Common Multiple of 26124 and 26144
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