What is the Greatest Common Factor of 70468 and 70474?

Greatest common factor (GCF) of 70468 and 70474 is 2.

GCF(70468,70474) = 2

We will now calculate the prime factors of 70468 and 70474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70468 and 70474.

How to find the GCF of 70468 and 70474?

We will first find the prime factorization of 70468 and 70474. After we will calculate the factors of 70468 and 70474 and find the biggest common factor number .

Step-1: Prime Factorization of 70468

Prime factors of 70468 are 2, 79, 223. Prime factorization of 70468 in exponential form is:

70468 = 2² × 79¹ × 223¹

Step-2: Prime Factorization of 70474

Prime factors of 70474 are 2, 167, 211. Prime factorization of 70474 in exponential form is:

70474 = 2¹ × 167¹ × 211¹

Step-3: Factors of 70468

List of positive integer factors of 70468 that divides 70468 without a remainder.

1, 2, 4, 79, 158, 223, 316, 446, 892, 17617, 35234

Step-4: Factors of 70474

List of positive integer factors of 70474 that divides 70468 without a remainder.

1, 2, 167, 211, 334, 422, 35237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70468 and 70474. The biggest common factor number is the GCF number.
So the greatest common factor 70468 and 70474 is 2.

Also check out the Least Common Multiple of 70468 and 70474