What is the Greatest Common Factor of 978 and 984?
Greatest common factor (GCF) of 978 and 984 is 6.
GCF(978,984) = 6
We will now calculate the prime factors of 978 and 984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 978 and 984.
How to find the GCF of 978 and 984?
We will first find the prime factorization of 978 and 984. After we will calculate the factors of 978 and 984 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 984
Prime factors of 984 are 2, 3, 41. Prime factorization of 984 in exponential form is:
984 = 23 × 31 × 411
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 984
List of positive integer factors of 984 that divides 978 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 978 and 984. The biggest common factor number is the GCF number.
So the greatest common factor 978 and 984 is 6.
Also check out the Least Common Multiple of 978 and 984
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Related Greatest Common Factors of 984
- GCF of 984 and 988
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