What is the Greatest Common Factor of 978 and 983?
Greatest common factor (GCF) of 978 and 983 is 1.
GCF(978,983) = 1
We will now calculate the prime factors of 978 and 983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 978 and 983.
How to find the GCF of 978 and 983?
We will first find the prime factorization of 978 and 983. After we will calculate the factors of 978 and 983 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 983
Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:
983 = 9831
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 983
List of positive integer factors of 983 that divides 978 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 978 and 983. The biggest common factor number is the GCF number.
So the greatest common factor 978 and 983 is 1.
Also check out the Least Common Multiple of 978 and 983
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Related Greatest Common Factors of 983
- GCF of 983 and 987
- GCF of 983 and 988
- GCF of 983 and 989
- GCF of 983 and 990
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- GCF of 983 and 1000
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