What is the Greatest Common Factor of 70321 and 70334?

Greatest common factor (GCF) of 70321 and 70334 is 1.

GCF(70321,70334) = 1

We will now calculate the prime factors of 70321 and 70334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70321 and 70334.

How to find the GCF of 70321 and 70334?

We will first find the prime factorization of 70321 and 70334. After we will calculate the factors of 70321 and 70334 and find the biggest common factor number .

Step-1: Prime Factorization of 70321

Prime factors of 70321 are 70321. Prime factorization of 70321 in exponential form is:

70321 = 70321¹

Step-2: Prime Factorization of 70334

Prime factors of 70334 are 2, 11, 23, 139. Prime factorization of 70334 in exponential form is:

70334 = 2¹ × 11¹ × 23¹ × 139¹

Step-3: Factors of 70321

List of positive integer factors of 70321 that divides 70321 without a remainder.

Step-4: Factors of 70334

List of positive integer factors of 70334 that divides 70321 without a remainder.

1, 2, 11, 22, 23, 46, 139, 253, 278, 506, 1529, 3058, 3197, 6394, 35167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70321 and 70334. The biggest common factor number is the GCF number.
So the greatest common factor 70321 and 70334 is 1.

Also check out the Least Common Multiple of 70321 and 70334