What is the Greatest Common Factor of 978 and 998?
Greatest common factor (GCF) of 978 and 998 is 2.
GCF(978,998) = 2
We will now calculate the prime factors of 978 and 998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 978 and 998.
How to find the GCF of 978 and 998?
We will first find the prime factorization of 978 and 998. After we will calculate the factors of 978 and 998 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 998
Prime factors of 998 are 2, 499. Prime factorization of 998 in exponential form is:
998 = 21 × 4991
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 998
List of positive integer factors of 998 that divides 978 without a remainder.
1, 2, 499
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 978 and 998. The biggest common factor number is the GCF number.
So the greatest common factor 978 and 998 is 2.
Also check out the Least Common Multiple of 978 and 998
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Related Greatest Common Factors of 998
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