What is the Greatest Common Factor of 70343 and 70350?

Greatest common factor (GCF) of 70343 and 70350 is 7.

GCF(70343,70350) = 7

We will now calculate the prime factors of 70343 and 70350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70343 and 70350.

How to find the GCF of 70343 and 70350?

We will first find the prime factorization of 70343 and 70350. After we will calculate the factors of 70343 and 70350 and find the biggest common factor number .

Step-1: Prime Factorization of 70343

Prime factors of 70343 are 7, 13, 773. Prime factorization of 70343 in exponential form is:

70343 = 7¹ × 13¹ × 773¹

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 70343

List of positive integer factors of 70343 that divides 70343 without a remainder.

1, 7, 13, 91, 773, 5411, 10049

Step-4: Factors of 70350

List of positive integer factors of 70350 that divides 70343 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 70343 and 70350. The biggest common factor number is the GCF number.
So the greatest common factor 70343 and 70350 is 7.

Also check out the Least Common Multiple of 70343 and 70350