What is the Greatest Common Factor of 70684 and 70688?

Greatest common factor (GCF) of 70684 and 70688 is 4.

GCF(70684,70688) = 4

We will now calculate the prime factors of 70684 and 70688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70684 and 70688.

How to find the GCF of 70684 and 70688?

We will first find the prime factorization of 70684 and 70688. After we will calculate the factors of 70684 and 70688 and find the biggest common factor number .

Step-1: Prime Factorization of 70684

Prime factors of 70684 are 2, 41, 431. Prime factorization of 70684 in exponential form is:

70684 = 2² × 41¹ × 431¹

Step-2: Prime Factorization of 70688

Prime factors of 70688 are 2, 47. Prime factorization of 70688 in exponential form is:

70688 = 2⁵ × 47²

Step-3: Factors of 70684

List of positive integer factors of 70684 that divides 70684 without a remainder.

1, 2, 4, 41, 82, 164, 431, 862, 1724, 17671, 35342

Step-4: Factors of 70688

List of positive integer factors of 70688 that divides 70684 without a remainder.

1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504, 2209, 4418, 8836, 17672, 35344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70684 and 70688. The biggest common factor number is the GCF number.
So the greatest common factor 70684 and 70688 is 4.

Also check out the Least Common Multiple of 70684 and 70688