What is the Greatest Common Factor of 70336 and 70350?

Greatest common factor (GCF) of 70336 and 70350 is 14.

GCF(70336,70350) = 14

We will now calculate the prime factors of 70336 and 70350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70336 and 70350.

How to find the GCF of 70336 and 70350?

We will first find the prime factorization of 70336 and 70350. After we will calculate the factors of 70336 and 70350 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 70350

Prime factors of 70350 are 2, 3, 5, 7, 67. Prime factorization of 70350 in exponential form is:

70350 = 2¹ × 3¹ × 5² × 7¹ × 67¹

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 70350

List of positive integer factors of 70350 that divides 70336 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 67, 70, 75, 105, 134, 150, 175, 201, 210, 335, 350, 402, 469, 525, 670, 938, 1005, 1050, 1407, 1675, 2010, 2345, 2814, 3350, 4690, 5025, 7035, 10050, 11725, 14070, 23450, 35175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70336 and 70350. The biggest common factor number is the GCF number.
So the greatest common factor 70336 and 70350 is 14.

Also check out the Least Common Multiple of 70336 and 70350