What is the Greatest Common Factor of 30036 and 30048?
Greatest common factor (GCF) of 30036 and 30048 is 12.
GCF(30036,30048) = 12
We will now calculate the prime factors of 30036 and 30048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30036 and 30048.
How to find the GCF of 30036 and 30048?
We will first find the prime factorization of 30036 and 30048. After we will calculate the factors of 30036 and 30048 and find the biggest common factor number .
Step-1: Prime Factorization of 30036
Prime factors of 30036 are 2, 3, 2503. Prime factorization of 30036 in exponential form is:
30036 = 22 × 31 × 25031
Step-2: Prime Factorization of 30048
Prime factors of 30048 are 2, 3, 313. Prime factorization of 30048 in exponential form is:
30048 = 25 × 31 × 3131
Step-3: Factors of 30036
List of positive integer factors of 30036 that divides 30036 without a remainder.
1, 2, 3, 4, 6, 12, 2503, 5006, 7509, 10012, 15018
Step-4: Factors of 30048
List of positive integer factors of 30048 that divides 30036 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 10016, 15024
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30036 and 30048. The biggest common factor number is the GCF number.
So the greatest common factor 30036 and 30048 is 12.
Also check out the Least Common Multiple of 30036 and 30048
Related Greatest Common Factors of 30036
- GCF of 30036 and 30040
- GCF of 30036 and 30041
- GCF of 30036 and 30042
- GCF of 30036 and 30043
- GCF of 30036 and 30044
- GCF of 30036 and 30045
- GCF of 30036 and 30046
- GCF of 30036 and 30047
- GCF of 30036 and 30048
- GCF of 30036 and 30049
- GCF of 30036 and 30050
- GCF of 30036 and 30051
- GCF of 30036 and 30052
- GCF of 30036 and 30053
- GCF of 30036 and 30054
- GCF of 30036 and 30055
- GCF of 30036 and 30056
Related Greatest Common Factors of 30048
- GCF of 30048 and 30052
- GCF of 30048 and 30053
- GCF of 30048 and 30054
- GCF of 30048 and 30055
- GCF of 30048 and 30056
- GCF of 30048 and 30057
- GCF of 30048 and 30058
- GCF of 30048 and 30059
- GCF of 30048 and 30060
- GCF of 30048 and 30061
- GCF of 30048 and 30062
- GCF of 30048 and 30063
- GCF of 30048 and 30064
- GCF of 30048 and 30065
- GCF of 30048 and 30066
- GCF of 30048 and 30067
- GCF of 30048 and 30068