What is the Greatest Common Factor of 70782 and 70795?

Greatest common factor (GCF) of 70782 and 70795 is 1.

GCF(70782,70795) = 1

We will now calculate the prime factors of 70782 and 70795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70782 and 70795.

How to find the GCF of 70782 and 70795?

We will first find the prime factorization of 70782 and 70795. After we will calculate the factors of 70782 and 70795 and find the biggest common factor number .

Step-1: Prime Factorization of 70782

Prime factors of 70782 are 2, 3, 47, 251. Prime factorization of 70782 in exponential form is:

70782 = 2¹ × 3¹ × 47¹ × 251¹

Step-2: Prime Factorization of 70795

Prime factors of 70795 are 5, 14159. Prime factorization of 70795 in exponential form is:

70795 = 5¹ × 14159¹

Step-3: Factors of 70782

List of positive integer factors of 70782 that divides 70782 without a remainder.

1, 2, 3, 6, 47, 94, 141, 251, 282, 502, 753, 1506, 11797, 23594, 35391

Step-4: Factors of 70795

List of positive integer factors of 70795 that divides 70782 without a remainder.

1, 5, 14159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70782 and 70795. The biggest common factor number is the GCF number.
So the greatest common factor 70782 and 70795 is 1.

Also check out the Least Common Multiple of 70782 and 70795