What is the Greatest Common Factor of 74001 and 74009?
Greatest common factor (GCF) of 74001 and 74009 is 1.
GCF(74001,74009) = 1
We will now calculate the prime factors of 74001 and 74009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74001 and 74009.
How to find the GCF of 74001 and 74009?
We will first find the prime factorization of 74001 and 74009. After we will calculate the factors of 74001 and 74009 and find the biggest common factor number .
Step-1: Prime Factorization of 74001
Prime factors of 74001 are 3, 17, 1451. Prime factorization of 74001 in exponential form is:
74001 = 31 × 171 × 14511
Step-2: Prime Factorization of 74009
Prime factors of 74009 are 13, 5693. Prime factorization of 74009 in exponential form is:
74009 = 131 × 56931
Step-3: Factors of 74001
List of positive integer factors of 74001 that divides 74001 without a remainder.
1, 3, 17, 51, 1451, 4353, 24667
Step-4: Factors of 74009
List of positive integer factors of 74009 that divides 74001 without a remainder.
1, 13, 5693
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74001 and 74009. The biggest common factor number is the GCF number.
So the greatest common factor 74001 and 74009 is 1.
Also check out the Least Common Multiple of 74001 and 74009
Related Greatest Common Factors of 74001
- GCF of 74001 and 74005
- GCF of 74001 and 74006
- GCF of 74001 and 74007
- GCF of 74001 and 74008
- GCF of 74001 and 74009
- GCF of 74001 and 74010
- GCF of 74001 and 74011
- GCF of 74001 and 74012
- GCF of 74001 and 74013
- GCF of 74001 and 74014
- GCF of 74001 and 74015
- GCF of 74001 and 74016
- GCF of 74001 and 74017
- GCF of 74001 and 74018
- GCF of 74001 and 74019
- GCF of 74001 and 74020
- GCF of 74001 and 74021
Related Greatest Common Factors of 74009
- GCF of 74009 and 74013
- GCF of 74009 and 74014
- GCF of 74009 and 74015
- GCF of 74009 and 74016
- GCF of 74009 and 74017
- GCF of 74009 and 74018
- GCF of 74009 and 74019
- GCF of 74009 and 74020
- GCF of 74009 and 74021
- GCF of 74009 and 74022
- GCF of 74009 and 74023
- GCF of 74009 and 74024
- GCF of 74009 and 74025
- GCF of 74009 and 74026
- GCF of 74009 and 74027
- GCF of 74009 and 74028
- GCF of 74009 and 74029