What is the Greatest Common Factor of 10638 and 10650?
Greatest common factor (GCF) of 10638 and 10650 is 6.
GCF(10638,10650) = 6
We will now calculate the prime factors of 10638 and 10650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10638 and 10650.
How to find the GCF of 10638 and 10650?
We will first find the prime factorization of 10638 and 10650. After we will calculate the factors of 10638 and 10650 and find the biggest common factor number .
Step-1: Prime Factorization of 10638
Prime factors of 10638 are 2, 3, 197. Prime factorization of 10638 in exponential form is:
10638 = 21 × 33 × 1971
Step-2: Prime Factorization of 10650
Prime factors of 10650 are 2, 3, 5, 71. Prime factorization of 10650 in exponential form is:
10650 = 21 × 31 × 52 × 711
Step-3: Factors of 10638
List of positive integer factors of 10638 that divides 10638 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 197, 394, 591, 1182, 1773, 3546, 5319
Step-4: Factors of 10650
List of positive integer factors of 10650 that divides 10638 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 71, 75, 142, 150, 213, 355, 426, 710, 1065, 1775, 2130, 3550, 5325
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10638 and 10650. The biggest common factor number is the GCF number.
So the greatest common factor 10638 and 10650 is 6.
Also check out the Least Common Multiple of 10638 and 10650
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