What is the Greatest Common Factor of 8 and 70?
Greatest common factor (GCF) of 8 and 70 is 2.
GCF(8,70) = 2
We will now calculate the prime factors of 8 and 70, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 70.
How to find the GCF of 8 and 70?
We will first find the prime factorization of 8 and 70. After we will calculate the factors of 8 and 70 and find the biggest common factor number .
Step-1: Prime Factorization of 8
Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:
8 = 23
Step-2: Prime Factorization of 70
Prime factors of 70 are 2, 5, 7. Prime factorization of 70 in exponential form is:
70 = 21 × 51 × 71
Step-3: Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1, 2, 4
Step-4: Factors of 70
List of positive integer factors of 70 that divides 8 without a remainder.
1, 2, 5, 7, 10, 14, 35
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8 and 70. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 70 is 2.
Also check out the Least Common Multiple of 8 and 70