What is the Greatest Common Factor of 30698 and 30708?
Greatest common factor (GCF) of 30698 and 30708 is 2.
GCF(30698,30708) = 2
We will now calculate the prime factors of 30698 and 30708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30698 and 30708.
How to find the GCF of 30698 and 30708?
We will first find the prime factorization of 30698 and 30708. After we will calculate the factors of 30698 and 30708 and find the biggest common factor number .
Step-1: Prime Factorization of 30698
Prime factors of 30698 are 2, 15349. Prime factorization of 30698 in exponential form is:
30698 = 21 × 153491
Step-2: Prime Factorization of 30708
Prime factors of 30708 are 2, 3, 853. Prime factorization of 30708 in exponential form is:
30708 = 22 × 32 × 8531
Step-3: Factors of 30698
List of positive integer factors of 30698 that divides 30698 without a remainder.
1, 2, 15349
Step-4: Factors of 30708
List of positive integer factors of 30708 that divides 30698 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 853, 1706, 2559, 3412, 5118, 7677, 10236, 15354
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30698 and 30708. The biggest common factor number is the GCF number.
So the greatest common factor 30698 and 30708 is 2.
Also check out the Least Common Multiple of 30698 and 30708
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