What is the Greatest Common Factor of 70688 and 70697?

Greatest common factor (GCF) of 70688 and 70697 is 1.

GCF(70688,70697) = 1

We will now calculate the prime factors of 70688 and 70697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70688 and 70697.

How to find the GCF of 70688 and 70697?

We will first find the prime factorization of 70688 and 70697. After we will calculate the factors of 70688 and 70697 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 70697

Prime factors of 70697 are 11, 6427. Prime factorization of 70697 in exponential form is:

70697 = 11¹ × 6427¹

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 70697

List of positive integer factors of 70697 that divides 70688 without a remainder.

1, 11, 6427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70688 and 70697. The biggest common factor number is the GCF number.
So the greatest common factor 70688 and 70697 is 1.

Also check out the Least Common Multiple of 70688 and 70697