What is the Greatest Common Factor of 29970 and 29976?
Greatest common factor (GCF) of 29970 and 29976 is 6.
GCF(29970,29976) = 6
We will now calculate the prime factors of 29970 and 29976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29970 and 29976.
How to find the GCF of 29970 and 29976?
We will first find the prime factorization of 29970 and 29976. After we will calculate the factors of 29970 and 29976 and find the biggest common factor number .
Step-1: Prime Factorization of 29970
Prime factors of 29970 are 2, 3, 5, 37. Prime factorization of 29970 in exponential form is:
29970 = 21 × 34 × 51 × 371
Step-2: Prime Factorization of 29976
Prime factors of 29976 are 2, 3, 1249. Prime factorization of 29976 in exponential form is:
29976 = 23 × 31 × 12491
Step-3: Factors of 29970
List of positive integer factors of 29970 that divides 29970 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 81, 90, 111, 135, 162, 185, 222, 270, 333, 370, 405, 555, 666, 810, 999, 1110, 1665, 1998, 2997, 3330, 4995, 5994, 9990, 14985
Step-4: Factors of 29976
List of positive integer factors of 29976 that divides 29970 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 1249, 2498, 3747, 4996, 7494, 9992, 14988
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 29970 and 29976. The biggest common factor number is the GCF number.
So the greatest common factor 29970 and 29976 is 6.
Also check out the Least Common Multiple of 29970 and 29976
Related Greatest Common Factors of 29970
- GCF of 29970 and 29974
- GCF of 29970 and 29975
- GCF of 29970 and 29976
- GCF of 29970 and 29977
- GCF of 29970 and 29978
- GCF of 29970 and 29979
- GCF of 29970 and 29980
- GCF of 29970 and 29981
- GCF of 29970 and 29982
- GCF of 29970 and 29983
- GCF of 29970 and 29984
- GCF of 29970 and 29985
- GCF of 29970 and 29986
- GCF of 29970 and 29987
- GCF of 29970 and 29988
- GCF of 29970 and 29989
- GCF of 29970 and 29990
Related Greatest Common Factors of 29976
- GCF of 29976 and 29980
- GCF of 29976 and 29981
- GCF of 29976 and 29982
- GCF of 29976 and 29983
- GCF of 29976 and 29984
- GCF of 29976 and 29985
- GCF of 29976 and 29986
- GCF of 29976 and 29987
- GCF of 29976 and 29988
- GCF of 29976 and 29989
- GCF of 29976 and 29990
- GCF of 29976 and 29991
- GCF of 29976 and 29992
- GCF of 29976 and 29993
- GCF of 29976 and 29994
- GCF of 29976 and 29995
- GCF of 29976 and 29996