What is the Greatest Common Factor of 38690 and 38706?
Greatest common factor (GCF) of 38690 and 38706 is 2.
GCF(38690,38706) = 2
We will now calculate the prime factors of 38690 and 38706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38690 and 38706.
How to find the GCF of 38690 and 38706?
We will first find the prime factorization of 38690 and 38706. After we will calculate the factors of 38690 and 38706 and find the biggest common factor number .
Step-1: Prime Factorization of 38690
Prime factors of 38690 are 2, 5, 53, 73. Prime factorization of 38690 in exponential form is:
38690 = 21 × 51 × 531 × 731
Step-2: Prime Factorization of 38706
Prime factors of 38706 are 2, 3, 6451. Prime factorization of 38706 in exponential form is:
38706 = 21 × 31 × 64511
Step-3: Factors of 38690
List of positive integer factors of 38690 that divides 38690 without a remainder.
1, 2, 5, 10, 53, 73, 106, 146, 265, 365, 530, 730, 3869, 7738, 19345
Step-4: Factors of 38706
List of positive integer factors of 38706 that divides 38690 without a remainder.
1, 2, 3, 6, 6451, 12902, 19353
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38690 and 38706. The biggest common factor number is the GCF number.
So the greatest common factor 38690 and 38706 is 2.
Also check out the Least Common Multiple of 38690 and 38706
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