What is the Greatest Common Factor of 70350 and 70354?

Greatest common factor (GCF) of 70350 and 70354 is 2.

GCF(70350,70354) = 2

We will now calculate the prime factors of 70350 and 70354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70350 and 70354.

How to find the GCF of 70350 and 70354?

We will first find the prime factorization of 70350 and 70354. After we will calculate the factors of 70350 and 70354 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 70354

Prime factors of 70354 are 2, 29, 1213. Prime factorization of 70354 in exponential form is:

70354 = 2¹ × 29¹ × 1213¹

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 70354

List of positive integer factors of 70354 that divides 70350 without a remainder.

1, 2, 29, 58, 1213, 2426, 35177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70350 and 70354. The biggest common factor number is the GCF number.
So the greatest common factor 70350 and 70354 is 2.

Also check out the Least Common Multiple of 70350 and 70354