What is the Greatest Common Factor of 978 and 982?
Greatest common factor (GCF) of 978 and 982 is 2.
GCF(978,982) = 2
We will now calculate the prime factors of 978 and 982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 978 and 982.
How to find the GCF of 978 and 982?
We will first find the prime factorization of 978 and 982. After we will calculate the factors of 978 and 982 and find the biggest common factor number .
Step-1: Prime Factorization of 978
Prime factors of 978 are 2, 3, 163. Prime factorization of 978 in exponential form is:
978 = 21 × 31 × 1631
Step-2: Prime Factorization of 982
Prime factors of 982 are 2, 491. Prime factorization of 982 in exponential form is:
982 = 21 × 4911
Step-3: Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489
Step-4: Factors of 982
List of positive integer factors of 982 that divides 978 without a remainder.
1, 2, 491
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 978 and 982. The biggest common factor number is the GCF number.
So the greatest common factor 978 and 982 is 2.
Also check out the Least Common Multiple of 978 and 982
Related Greatest Common Factors of 978
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Related Greatest Common Factors of 982
- GCF of 982 and 986
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