What is the Greatest Common Factor of 10738 and 10750?
Greatest common factor (GCF) of 10738 and 10750 is 2.
GCF(10738,10750) = 2
We will now calculate the prime factors of 10738 and 10750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10738 and 10750.
How to find the GCF of 10738 and 10750?
We will first find the prime factorization of 10738 and 10750. After we will calculate the factors of 10738 and 10750 and find the biggest common factor number .
Step-1: Prime Factorization of 10738
Prime factors of 10738 are 2, 7, 13, 59. Prime factorization of 10738 in exponential form is:
10738 = 21 × 71 × 131 × 591
Step-2: Prime Factorization of 10750
Prime factors of 10750 are 2, 5, 43. Prime factorization of 10750 in exponential form is:
10750 = 21 × 53 × 431
Step-3: Factors of 10738
List of positive integer factors of 10738 that divides 10738 without a remainder.
1, 2, 7, 13, 14, 26, 59, 91, 118, 182, 413, 767, 826, 1534, 5369
Step-4: Factors of 10750
List of positive integer factors of 10750 that divides 10738 without a remainder.
1, 2, 5, 10, 25, 43, 50, 86, 125, 215, 250, 430, 1075, 2150, 5375
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10738 and 10750. The biggest common factor number is the GCF number.
So the greatest common factor 10738 and 10750 is 2.
Also check out the Least Common Multiple of 10738 and 10750
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Related Greatest Common Factors of 10750
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