What is the Greatest Common Factor of 70474 and 70484?

Greatest common factor (GCF) of 70474 and 70484 is 2.

GCF(70474,70484) = 2

We will now calculate the prime factors of 70474 and 70484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70474 and 70484.

How to find the GCF of 70474 and 70484?

We will first find the prime factorization of 70474 and 70484. After we will calculate the factors of 70474 and 70484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70484

Prime factors of 70484 are 2, 67, 263. Prime factorization of 70484 in exponential form is:

70484 = 2² × 67¹ × 263¹

Step-3: Factors of 70474

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

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

Step-4: Factors of 70484

List of positive integer factors of 70484 that divides 70474 without a remainder.

1, 2, 4, 67, 134, 263, 268, 526, 1052, 17621, 35242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70474 and 70484. The biggest common factor number is the GCF number.
So the greatest common factor 70474 and 70484 is 2.

Also check out the Least Common Multiple of 70474 and 70484