What is the Greatest Common Factor of 70322 and 70336?

Greatest common factor (GCF) of 70322 and 70336 is 14.

GCF(70322,70336) = 14

We will now calculate the prime factors of 70322 and 70336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70322 and 70336.

How to find the GCF of 70322 and 70336?

We will first find the prime factorization of 70322 and 70336. After we will calculate the factors of 70322 and 70336 and find the biggest common factor number .

Step-1: Prime Factorization of 70322

Prime factors of 70322 are 2, 7, 5023. Prime factorization of 70322 in exponential form is:

70322 = 2¹ × 7¹ × 5023¹

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 70322

List of positive integer factors of 70322 that divides 70322 without a remainder.

1, 2, 7, 14, 5023, 10046, 35161

Step-4: Factors of 70336

List of positive integer factors of 70336 that divides 70322 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 70322 and 70336. The biggest common factor number is the GCF number.
So the greatest common factor 70322 and 70336 is 14.

Also check out the Least Common Multiple of 70322 and 70336