What is the Greatest Common Factor of 70078 and 70096?
Greatest common factor (GCF) of 70078 and 70096 is 2.
GCF(70078,70096) = 2
We will now calculate the prime factors of 70078 and 70096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70078 and 70096.
How to find the GCF of 70078 and 70096?
We will first find the prime factorization of 70078 and 70096. After we will calculate the factors of 70078 and 70096 and find the biggest common factor number .
Step-1: Prime Factorization of 70078
Prime factors of 70078 are 2, 37, 947. Prime factorization of 70078 in exponential form is:
70078 = 21 × 371 × 9471
Step-2: Prime Factorization of 70096
Prime factors of 70096 are 2, 13, 337. Prime factorization of 70096 in exponential form is:
70096 = 24 × 131 × 3371
Step-3: Factors of 70078
List of positive integer factors of 70078 that divides 70078 without a remainder.
1, 2, 37, 74, 947, 1894, 35039
Step-4: Factors of 70096
List of positive integer factors of 70096 that divides 70078 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 337, 674, 1348, 2696, 4381, 5392, 8762, 17524, 35048
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70078 and 70096. The biggest common factor number is the GCF number.
So the greatest common factor 70078 and 70096 is 2.
Also check out the Least Common Multiple of 70078 and 70096
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