What is the Greatest Common Factor of 70338 and 70350?

Greatest common factor (GCF) of 70338 and 70350 is 6.

GCF(70338,70350) = 6

We will now calculate the prime factors of 70338 and 70350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70338 and 70350.

How to find the GCF of 70338 and 70350?

We will first find the prime factorization of 70338 and 70350. After we will calculate the factors of 70338 and 70350 and find the biggest common factor number .

Step-1: Prime Factorization of 70338

Prime factors of 70338 are 2, 3, 19, 617. Prime factorization of 70338 in exponential form is:

70338 = 2¹ × 3¹ × 19¹ × 617¹

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 70338

List of positive integer factors of 70338 that divides 70338 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 617, 1234, 1851, 3702, 11723, 23446, 35169

Step-4: Factors of 70350

List of positive integer factors of 70350 that divides 70338 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 70338 and 70350. The biggest common factor number is the GCF number.
So the greatest common factor 70338 and 70350 is 6.

Also check out the Least Common Multiple of 70338 and 70350