What is the Greatest Common Factor of 74138 and 74149?
Greatest common factor (GCF) of 74138 and 74149 is 1.
GCF(74138,74149) = 1
We will now calculate the prime factors of 74138 and 74149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74138 and 74149.
How to find the GCF of 74138 and 74149?
We will first find the prime factorization of 74138 and 74149. After we will calculate the factors of 74138 and 74149 and find the biggest common factor number .
Step-1: Prime Factorization of 74138
Prime factors of 74138 are 2, 19, 1951. Prime factorization of 74138 in exponential form is:
74138 = 21 × 191 × 19511
Step-2: Prime Factorization of 74149
Prime factors of 74149 are 74149. Prime factorization of 74149 in exponential form is:
74149 = 741491
Step-3: Factors of 74138
List of positive integer factors of 74138 that divides 74138 without a remainder.
1, 2, 19, 38, 1951, 3902, 37069
Step-4: Factors of 74149
List of positive integer factors of 74149 that divides 74138 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74138 and 74149. The biggest common factor number is the GCF number.
So the greatest common factor 74138 and 74149 is 1.
Also check out the Least Common Multiple of 74138 and 74149
Related Greatest Common Factors of 74138
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- GCF of 74138 and 74149
- GCF of 74138 and 74150
- GCF of 74138 and 74151
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- GCF of 74138 and 74154
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Related Greatest Common Factors of 74149
- GCF of 74149 and 74153
- GCF of 74149 and 74154
- GCF of 74149 and 74155
- GCF of 74149 and 74156
- GCF of 74149 and 74157
- GCF of 74149 and 74158
- GCF of 74149 and 74159
- GCF of 74149 and 74160
- GCF of 74149 and 74161
- GCF of 74149 and 74162
- GCF of 74149 and 74163
- GCF of 74149 and 74164
- GCF of 74149 and 74165
- GCF of 74149 and 74166
- GCF of 74149 and 74167
- GCF of 74149 and 74168
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