What is the Greatest Common Factor of 37085 and 37105?
Greatest common factor (GCF) of 37085 and 37105 is 5.
GCF(37085,37105) = 5
We will now calculate the prime factors of 37085 and 37105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37085 and 37105.
How to find the GCF of 37085 and 37105?
We will first find the prime factorization of 37085 and 37105. After we will calculate the factors of 37085 and 37105 and find the biggest common factor number .
Step-1: Prime Factorization of 37085
Prime factors of 37085 are 5, 7417. Prime factorization of 37085 in exponential form is:
37085 = 51 × 74171
Step-2: Prime Factorization of 37105
Prime factors of 37105 are 5, 41, 181. Prime factorization of 37105 in exponential form is:
37105 = 51 × 411 × 1811
Step-3: Factors of 37085
List of positive integer factors of 37085 that divides 37085 without a remainder.
1, 5, 7417
Step-4: Factors of 37105
List of positive integer factors of 37105 that divides 37085 without a remainder.
1, 5, 41, 181, 205, 905, 7421
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 37085 and 37105. The biggest common factor number is the GCF number.
So the greatest common factor 37085 and 37105 is 5.
Also check out the Least Common Multiple of 37085 and 37105
Related Greatest Common Factors of 37085
- GCF of 37085 and 37089
- GCF of 37085 and 37090
- GCF of 37085 and 37091
- GCF of 37085 and 37092
- GCF of 37085 and 37093
- GCF of 37085 and 37094
- GCF of 37085 and 37095
- GCF of 37085 and 37096
- GCF of 37085 and 37097
- GCF of 37085 and 37098
- GCF of 37085 and 37099
- GCF of 37085 and 37100
- GCF of 37085 and 37101
- GCF of 37085 and 37102
- GCF of 37085 and 37103
- GCF of 37085 and 37104
- GCF of 37085 and 37105
Related Greatest Common Factors of 37105
- GCF of 37105 and 37109
- GCF of 37105 and 37110
- GCF of 37105 and 37111
- GCF of 37105 and 37112
- GCF of 37105 and 37113
- GCF of 37105 and 37114
- GCF of 37105 and 37115
- GCF of 37105 and 37116
- GCF of 37105 and 37117
- GCF of 37105 and 37118
- GCF of 37105 and 37119
- GCF of 37105 and 37120
- GCF of 37105 and 37121
- GCF of 37105 and 37122
- GCF of 37105 and 37123
- GCF of 37105 and 37124
- GCF of 37105 and 37125