What is the Greatest Common Factor of 26748 and 26762?
Greatest common factor (GCF) of 26748 and 26762 is 2.
GCF(26748,26762) = 2
We will now calculate the prime factors of 26748 and 26762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26748 and 26762.
How to find the GCF of 26748 and 26762?
We will first find the prime factorization of 26748 and 26762. After we will calculate the factors of 26748 and 26762 and find the biggest common factor number .
Step-1: Prime Factorization of 26748
Prime factors of 26748 are 2, 3, 743. Prime factorization of 26748 in exponential form is:
26748 = 22 × 32 × 7431
Step-2: Prime Factorization of 26762
Prime factors of 26762 are 2, 13381. Prime factorization of 26762 in exponential form is:
26762 = 21 × 133811
Step-3: Factors of 26748
List of positive integer factors of 26748 that divides 26748 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 743, 1486, 2229, 2972, 4458, 6687, 8916, 13374
Step-4: Factors of 26762
List of positive integer factors of 26762 that divides 26748 without a remainder.
1, 2, 13381
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 26748 and 26762. The biggest common factor number is the GCF number.
So the greatest common factor 26748 and 26762 is 2.
Also check out the Least Common Multiple of 26748 and 26762
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