What is the Greatest Common Factor of 70890 and 70894?
Greatest common factor (GCF) of 70890 and 70894 is 2.
GCF(70890,70894) = 2
We will now calculate the prime factors of 70890 and 70894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70890 and 70894.
How to find the GCF of 70890 and 70894?
We will first find the prime factorization of 70890 and 70894. After we will calculate the factors of 70890 and 70894 and find the biggest common factor number .
Step-1: Prime Factorization of 70890
Prime factors of 70890 are 2, 3, 5, 17, 139. Prime factorization of 70890 in exponential form is:
70890 = 21 × 31 × 51 × 171 × 1391
Step-2: Prime Factorization of 70894
Prime factors of 70894 are 2, 35447. Prime factorization of 70894 in exponential form is:
70894 = 21 × 354471
Step-3: Factors of 70890
List of positive integer factors of 70890 that divides 70890 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 139, 170, 255, 278, 417, 510, 695, 834, 1390, 2085, 2363, 4170, 4726, 7089, 11815, 14178, 23630, 35445
Step-4: Factors of 70894
List of positive integer factors of 70894 that divides 70890 without a remainder.
1, 2, 35447
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70890 and 70894. The biggest common factor number is the GCF number.
So the greatest common factor 70890 and 70894 is 2.
Also check out the Least Common Multiple of 70890 and 70894
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