What is the Greatest Common Factor of 4964 and 4975?
Greatest common factor (GCF) of 4964 and 4975 is 1.
GCF(4964,4975) = 1
We will now calculate the prime factors of 4964 and 4975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4964 and 4975.
How to find the GCF of 4964 and 4975?
We will first find the prime factorization of 4964 and 4975. After we will calculate the factors of 4964 and 4975 and find the biggest common factor number .
Step-1: Prime Factorization of 4964
Prime factors of 4964 are 2, 17, 73. Prime factorization of 4964 in exponential form is:
4964 = 22 × 171 × 731
Step-2: Prime Factorization of 4975
Prime factors of 4975 are 5, 199. Prime factorization of 4975 in exponential form is:
4975 = 52 × 1991
Step-3: Factors of 4964
List of positive integer factors of 4964 that divides 4964 without a remainder.
1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482
Step-4: Factors of 4975
List of positive integer factors of 4975 that divides 4964 without a remainder.
1, 5, 25, 199, 995
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4964 and 4975. The biggest common factor number is the GCF number.
So the greatest common factor 4964 and 4975 is 1.
Also check out the Least Common Multiple of 4964 and 4975
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Related Greatest Common Factors of 4975
- GCF of 4975 and 4979
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- GCF of 4975 and 4991
- GCF of 4975 and 4992
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