What is the Greatest Common Factor of 987 and 1004?
Greatest common factor (GCF) of 987 and 1004 is 1.
GCF(987,1004) = 1
We will now calculate the prime factors of 987 and 1004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 987 and 1004.
How to find the GCF of 987 and 1004?
We will first find the prime factorization of 987 and 1004. After we will calculate the factors of 987 and 1004 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 1004
Prime factors of 1004 are 2, 251. Prime factorization of 1004 in exponential form is:
1004 = 22 × 2511
Step-3: Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329
Step-4: Factors of 1004
List of positive integer factors of 1004 that divides 987 without a remainder.
1, 2, 4, 251, 502
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 987 and 1004. The biggest common factor number is the GCF number.
So the greatest common factor 987 and 1004 is 1.
Also check out the Least Common Multiple of 987 and 1004
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