What is the Greatest Common Factor of 70688 and 70694?

Greatest common factor (GCF) of 70688 and 70694 is 2.

GCF(70688,70694) = 2

We will now calculate the prime factors of 70688 and 70694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70688 and 70694.

How to find the GCF of 70688 and 70694?

We will first find the prime factorization of 70688 and 70694. After we will calculate the factors of 70688 and 70694 and find the biggest common factor number .

Step-1: Prime Factorization of 70688

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

70688 = 2⁵ × 47²

Step-2: Prime Factorization of 70694

Prime factors of 70694 are 2, 13, 2719. Prime factorization of 70694 in exponential form is:

70694 = 2¹ × 13¹ × 2719¹

Step-3: Factors of 70688

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

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

Step-4: Factors of 70694

List of positive integer factors of 70694 that divides 70688 without a remainder.

1, 2, 13, 26, 2719, 5438, 35347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70688 and 70694. The biggest common factor number is the GCF number.
So the greatest common factor 70688 and 70694 is 2.

Also check out the Least Common Multiple of 70688 and 70694