What is the Greatest Common Factor of 978 and 987?
Greatest common factor (GCF) of 978 and 987 is 3.
GCF(978,987) = 3
We will now calculate the prime factors of 978 and 987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 978 and 987.
How to find the GCF of 978 and 987?
We will first find the prime factorization of 978 and 987. After we will calculate the factors of 978 and 987 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 987
Prime factors of 987 are 3, 7, 47. Prime factorization of 987 in exponential form is:
987 = 31 × 71 × 471
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 987
List of positive integer factors of 987 that divides 978 without a remainder.
1, 3, 7, 21, 47, 141, 329
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 978 and 987. The biggest common factor number is the GCF number.
So the greatest common factor 978 and 987 is 3.
Also check out the Least Common Multiple of 978 and 987
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Related Greatest Common Factors of 987
- GCF of 987 and 991
- GCF of 987 and 992
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- GCF of 987 and 995
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