What is the Greatest Common Factor of 4965 and 4984?
Greatest common factor (GCF) of 4965 and 4984 is 1.
GCF(4965,4984) = 1
We will now calculate the prime factors of 4965 and 4984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4965 and 4984.
How to find the GCF of 4965 and 4984?
We will first find the prime factorization of 4965 and 4984. After we will calculate the factors of 4965 and 4984 and find the biggest common factor number .
Step-1: Prime Factorization of 4965
Prime factors of 4965 are 3, 5, 331. Prime factorization of 4965 in exponential form is:
4965 = 31 × 51 × 3311
Step-2: Prime Factorization of 4984
Prime factors of 4984 are 2, 7, 89. Prime factorization of 4984 in exponential form is:
4984 = 23 × 71 × 891
Step-3: Factors of 4965
List of positive integer factors of 4965 that divides 4965 without a remainder.
1, 3, 5, 15, 331, 993, 1655
Step-4: Factors of 4984
List of positive integer factors of 4984 that divides 4965 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4965 and 4984. The biggest common factor number is the GCF number.
So the greatest common factor 4965 and 4984 is 1.
Also check out the Least Common Multiple of 4965 and 4984
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