What is the Greatest Common Factor of 70329 and 70336?

Greatest common factor (GCF) of 70329 and 70336 is 7.

GCF(70329,70336) = 7

We will now calculate the prime factors of 70329 and 70336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70329 and 70336.

How to find the GCF of 70329 and 70336?

We will first find the prime factorization of 70329 and 70336. After we will calculate the factors of 70329 and 70336 and find the biggest common factor number .

Step-1: Prime Factorization of 70329

Prime factors of 70329 are 3, 7, 17, 197. Prime factorization of 70329 in exponential form is:

70329 = 3¹ × 7¹ × 17¹ × 197¹

Step-2: 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-3: Factors of 70329

List of positive integer factors of 70329 that divides 70329 without a remainder.

1, 3, 7, 17, 21, 51, 119, 197, 357, 591, 1379, 3349, 4137, 10047, 23443

Step-4: Factors of 70336

List of positive integer factors of 70336 that divides 70329 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70329 and 70336. The biggest common factor number is the GCF number.
So the greatest common factor 70329 and 70336 is 7.

Also check out the Least Common Multiple of 70329 and 70336