What is the Greatest Common Factor of 70350 and 70357?

Greatest common factor (GCF) of 70350 and 70357 is 7.

GCF(70350,70357) = 7

We will now calculate the prime factors of 70350 and 70357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70350 and 70357.

How to find the GCF of 70350 and 70357?

We will first find the prime factorization of 70350 and 70357. After we will calculate the factors of 70350 and 70357 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 70357

Prime factors of 70357 are 7, 19, 23. Prime factorization of 70357 in exponential form is:

70357 = 7¹ × 19¹ × 23²

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 70357

List of positive integer factors of 70357 that divides 70350 without a remainder.

1, 7, 19, 23, 133, 161, 437, 529, 3059, 3703, 10051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70350 and 70357. The biggest common factor number is the GCF number.
So the greatest common factor 70350 and 70357 is 7.

Also check out the Least Common Multiple of 70350 and 70357