What is the Greatest Common Factor of 70336 and 70355?

Greatest common factor (GCF) of 70336 and 70355 is 1.

GCF(70336,70355) = 1

We will now calculate the prime factors of 70336 and 70355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70336 and 70355.

How to find the GCF of 70336 and 70355?

We will first find the prime factorization of 70336 and 70355. After we will calculate the factors of 70336 and 70355 and find the biggest common factor number .

Step-1: Prime Factorization of 70336

Prime factors of 70336 are 2, 7, 157. Prime factorization of 70336 in exponential form is:

70336 = 2⁶ × 7¹ × 157¹

Step-2: Prime Factorization of 70355

Prime factors of 70355 are 5, 14071. Prime factorization of 70355 in exponential form is:

70355 = 5¹ × 14071¹

Step-3: Factors of 70336

List of positive integer factors of 70336 that divides 70336 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 157, 224, 314, 448, 628, 1099, 1256, 2198, 2512, 4396, 5024, 8792, 10048, 17584, 35168

Step-4: Factors of 70355

List of positive integer factors of 70355 that divides 70336 without a remainder.

1, 5, 14071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70336 and 70355. The biggest common factor number is the GCF number.
So the greatest common factor 70336 and 70355 is 1.

Also check out the Least Common Multiple of 70336 and 70355