What is the Greatest Common Factor of 14029 and 14040?
Greatest common factor (GCF) of 14029 and 14040 is 1.
GCF(14029,14040) = 1
We will now calculate the prime factors of 14029 and 14040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14029 and 14040.
How to find the GCF of 14029 and 14040?
We will first find the prime factorization of 14029 and 14040. After we will calculate the factors of 14029 and 14040 and find the biggest common factor number .
Step-1: Prime Factorization of 14029
Prime factors of 14029 are 14029. Prime factorization of 14029 in exponential form is:
14029 = 140291
Step-2: Prime Factorization of 14040
Prime factors of 14040 are 2, 3, 5, 13. Prime factorization of 14040 in exponential form is:
14040 = 23 × 33 × 51 × 131
Step-3: Factors of 14029
List of positive integer factors of 14029 that divides 14029 without a remainder.
1
Step-4: Factors of 14040
List of positive integer factors of 14040 that divides 14029 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 52, 54, 60, 65, 72, 78, 90, 104, 108, 117, 120, 130, 135, 156, 180, 195, 216, 234, 260, 270, 312, 351, 360, 390, 468, 520, 540, 585, 702, 780, 936, 1080, 1170, 1404, 1560, 1755, 2340, 2808, 3510, 4680, 7020
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14029 and 14040. The biggest common factor number is the GCF number.
So the greatest common factor 14029 and 14040 is 1.
Also check out the Least Common Multiple of 14029 and 14040
Related Greatest Common Factors of 14029
- GCF of 14029 and 14033
- GCF of 14029 and 14034
- GCF of 14029 and 14035
- GCF of 14029 and 14036
- GCF of 14029 and 14037
- GCF of 14029 and 14038
- GCF of 14029 and 14039
- GCF of 14029 and 14040
- GCF of 14029 and 14041
- GCF of 14029 and 14042
- GCF of 14029 and 14043
- GCF of 14029 and 14044
- GCF of 14029 and 14045
- GCF of 14029 and 14046
- GCF of 14029 and 14047
- GCF of 14029 and 14048
- GCF of 14029 and 14049
Related Greatest Common Factors of 14040
- GCF of 14040 and 14044
- GCF of 14040 and 14045
- GCF of 14040 and 14046
- GCF of 14040 and 14047
- GCF of 14040 and 14048
- GCF of 14040 and 14049
- GCF of 14040 and 14050
- GCF of 14040 and 14051
- GCF of 14040 and 14052
- GCF of 14040 and 14053
- GCF of 14040 and 14054
- GCF of 14040 and 14055
- GCF of 14040 and 14056
- GCF of 14040 and 14057
- GCF of 14040 and 14058
- GCF of 14040 and 14059
- GCF of 14040 and 14060