What is the Greatest Common Factor of 4964 and 4968?
Greatest common factor (GCF) of 4964 and 4968 is 4.
GCF(4964,4968) = 4
We will now calculate the prime factors of 4964 and 4968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4964 and 4968.
How to find the GCF of 4964 and 4968?
We will first find the prime factorization of 4964 and 4968. After we will calculate the factors of 4964 and 4968 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 4968
Prime factors of 4968 are 2, 3, 23. Prime factorization of 4968 in exponential form is:
4968 = 23 × 33 × 231
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 4968
List of positive integer factors of 4968 that divides 4964 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4964 and 4968. The biggest common factor number is the GCF number.
So the greatest common factor 4964 and 4968 is 4.
Also check out the Least Common Multiple of 4964 and 4968
Related Greatest Common Factors of 4964
- GCF of 4964 and 4968
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- GCF of 4964 and 4973
- GCF of 4964 and 4974
- GCF of 4964 and 4975
- GCF of 4964 and 4976
- GCF of 4964 and 4977
- GCF of 4964 and 4978
- GCF of 4964 and 4979
- GCF of 4964 and 4980
- GCF of 4964 and 4981
- GCF of 4964 and 4982
- GCF of 4964 and 4983
- GCF of 4964 and 4984
Related Greatest Common Factors of 4968
- GCF of 4968 and 4972
- GCF of 4968 and 4973
- GCF of 4968 and 4974
- GCF of 4968 and 4975
- GCF of 4968 and 4976
- GCF of 4968 and 4977
- GCF of 4968 and 4978
- GCF of 4968 and 4979
- GCF of 4968 and 4980
- GCF of 4968 and 4981
- GCF of 4968 and 4982
- GCF of 4968 and 4983
- GCF of 4968 and 4984
- GCF of 4968 and 4985
- GCF of 4968 and 4986
- GCF of 4968 and 4987
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