What is the Greatest Common Factor of 70364 and 70384?

Greatest common factor (GCF) of 70364 and 70384 is 4.

GCF(70364,70384) = 4

We will now calculate the prime factors of 70364 and 70384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70364 and 70384.

How to find the GCF of 70364 and 70384?

We will first find the prime factorization of 70364 and 70384. After we will calculate the factors of 70364 and 70384 and find the biggest common factor number .

Step-1: Prime Factorization of 70364

Prime factors of 70364 are 2, 7, 359. Prime factorization of 70364 in exponential form is:

70364 = 2² × 7² × 359¹

Step-2: Prime Factorization of 70384

Prime factors of 70384 are 2, 53, 83. Prime factorization of 70384 in exponential form is:

70384 = 2⁴ × 53¹ × 83¹

Step-3: Factors of 70364

List of positive integer factors of 70364 that divides 70364 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 359, 718, 1436, 2513, 5026, 10052, 17591, 35182

Step-4: Factors of 70384

List of positive integer factors of 70384 that divides 70364 without a remainder.

1, 2, 4, 8, 16, 53, 83, 106, 166, 212, 332, 424, 664, 848, 1328, 4399, 8798, 17596, 35192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70364 and 70384. The biggest common factor number is the GCF number.
So the greatest common factor 70364 and 70384 is 4.

Also check out the Least Common Multiple of 70364 and 70384