What is the Greatest Common Factor of 70384 and 70392?

Greatest common factor (GCF) of 70384 and 70392 is 8.

GCF(70384,70392) = 8

We will now calculate the prime factors of 70384 and 70392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70384 and 70392.

How to find the GCF of 70384 and 70392?

We will first find the prime factorization of 70384 and 70392. After we will calculate the factors of 70384 and 70392 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70392

Prime factors of 70392 are 2, 3, 7, 419. Prime factorization of 70392 in exponential form is:

70392 = 2³ × 3¹ × 7¹ × 419¹

Step-3: Factors of 70384

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

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

Step-4: Factors of 70392

List of positive integer factors of 70392 that divides 70384 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 419, 838, 1257, 1676, 2514, 2933, 3352, 5028, 5866, 8799, 10056, 11732, 17598, 23464, 35196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70384 and 70392. The biggest common factor number is the GCF number.
So the greatest common factor 70384 and 70392 is 8.

Also check out the Least Common Multiple of 70384 and 70392