What is the Greatest Common Factor of 70765 and 70772?
Greatest common factor (GCF) of 70765 and 70772 is 1.
GCF(70765,70772) = 1
We will now calculate the prime factors of 70765 and 70772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70765 and 70772.
How to find the GCF of 70765 and 70772?
We will first find the prime factorization of 70765 and 70772. After we will calculate the factors of 70765 and 70772 and find the biggest common factor number .
Step-1: Prime Factorization of 70765
Prime factors of 70765 are 5, 14153. Prime factorization of 70765 in exponential form is:
70765 = 51 × 141531
Step-2: Prime Factorization of 70772
Prime factors of 70772 are 2, 13, 1361. Prime factorization of 70772 in exponential form is:
70772 = 22 × 131 × 13611
Step-3: Factors of 70765
List of positive integer factors of 70765 that divides 70765 without a remainder.
1, 5, 14153
Step-4: Factors of 70772
List of positive integer factors of 70772 that divides 70765 without a remainder.
1, 2, 4, 13, 26, 52, 1361, 2722, 5444, 17693, 35386
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70765 and 70772. The biggest common factor number is the GCF number.
So the greatest common factor 70765 and 70772 is 1.
Also check out the Least Common Multiple of 70765 and 70772
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