What is the Greatest Common Factor of 78070 and 78075?
Greatest common factor (GCF) of 78070 and 78075 is 5.
GCF(78070,78075) = 5
We will now calculate the prime factors of 78070 and 78075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78070 and 78075.
How to find the GCF of 78070 and 78075?
We will first find the prime factorization of 78070 and 78075. After we will calculate the factors of 78070 and 78075 and find the biggest common factor number .
Step-1: Prime Factorization of 78070
Prime factors of 78070 are 2, 5, 37, 211. Prime factorization of 78070 in exponential form is:
78070 = 21 × 51 × 371 × 2111
Step-2: Prime Factorization of 78075
Prime factors of 78075 are 3, 5, 347. Prime factorization of 78075 in exponential form is:
78075 = 32 × 52 × 3471
Step-3: Factors of 78070
List of positive integer factors of 78070 that divides 78070 without a remainder.
1, 2, 5, 10, 37, 74, 185, 211, 370, 422, 1055, 2110, 7807, 15614, 39035
Step-4: Factors of 78075
List of positive integer factors of 78075 that divides 78070 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225, 347, 1041, 1735, 3123, 5205, 8675, 15615, 26025
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 78070 and 78075. The biggest common factor number is the GCF number.
So the greatest common factor 78070 and 78075 is 5.
Also check out the Least Common Multiple of 78070 and 78075
Related Greatest Common Factors of 78070
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Related Greatest Common Factors of 78075
- GCF of 78075 and 78079
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