What is the Greatest Common Factor of 70465 and 70482?

Greatest common factor (GCF) of 70465 and 70482 is 17.

GCF(70465,70482) = 17

We will now calculate the prime factors of 70465 and 70482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70465 and 70482.

How to find the GCF of 70465 and 70482?

We will first find the prime factorization of 70465 and 70482. After we will calculate the factors of 70465 and 70482 and find the biggest common factor number .

Step-1: Prime Factorization of 70465

Prime factors of 70465 are 5, 17, 829. Prime factorization of 70465 in exponential form is:

70465 = 5¹ × 17¹ × 829¹

Step-2: Prime Factorization of 70482

Prime factors of 70482 are 2, 3, 17, 691. Prime factorization of 70482 in exponential form is:

70482 = 2¹ × 3¹ × 17¹ × 691¹

Step-3: Factors of 70465

List of positive integer factors of 70465 that divides 70465 without a remainder.

1, 5, 17, 85, 829, 4145, 14093

Step-4: Factors of 70482

List of positive integer factors of 70482 that divides 70465 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 691, 1382, 2073, 4146, 11747, 23494, 35241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70465 and 70482. The biggest common factor number is the GCF number.
So the greatest common factor 70465 and 70482 is 17.

Also check out the Least Common Multiple of 70465 and 70482