What is the Greatest Common Factor of 70350 and 70369?

Greatest common factor (GCF) of 70350 and 70369 is 1.

GCF(70350,70369) = 1

We will now calculate the prime factors of 70350 and 70369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70350 and 70369.

How to find the GCF of 70350 and 70369?

We will first find the prime factorization of 70350 and 70369. After we will calculate the factors of 70350 and 70369 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70369

Prime factors of 70369 are 13, 5413. Prime factorization of 70369 in exponential form is:

70369 = 13¹ × 5413¹

Step-3: Factors of 70350

List of positive integer factors of 70350 that divides 70350 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

Step-4: Factors of 70369

List of positive integer factors of 70369 that divides 70350 without a remainder.

1, 13, 5413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70350 and 70369. The biggest common factor number is the GCF number.
So the greatest common factor 70350 and 70369 is 1.

Also check out the Least Common Multiple of 70350 and 70369