What is the Greatest Common Factor of 20744 and 20750?
Greatest common factor (GCF) of 20744 and 20750 is 2.
GCF(20744,20750) = 2
We will now calculate the prime factors of 20744 and 20750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20744 and 20750.
How to find the GCF of 20744 and 20750?
We will first find the prime factorization of 20744 and 20750. After we will calculate the factors of 20744 and 20750 and find the biggest common factor number .
Step-1: Prime Factorization of 20744
Prime factors of 20744 are 2, 2593. Prime factorization of 20744 in exponential form is:
20744 = 23 × 25931
Step-2: Prime Factorization of 20750
Prime factors of 20750 are 2, 5, 83. Prime factorization of 20750 in exponential form is:
20750 = 21 × 53 × 831
Step-3: Factors of 20744
List of positive integer factors of 20744 that divides 20744 without a remainder.
1, 2, 4, 8, 2593, 5186, 10372
Step-4: Factors of 20750
List of positive integer factors of 20750 that divides 20744 without a remainder.
1, 2, 5, 10, 25, 50, 83, 125, 166, 250, 415, 830, 2075, 4150, 10375
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20744 and 20750. The biggest common factor number is the GCF number.
So the greatest common factor 20744 and 20750 is 2.
Also check out the Least Common Multiple of 20744 and 20750
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