What is the Greatest Common Factor of 35454 and 35470?

Greatest common factor (GCF) of 35454 and 35470 is 2.

GCF(35454,35470) = 2

We will now calculate the prime factors of 35454 and 35470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35454 and 35470.

How to find the GCF of 35454 and 35470?

We will first find the prime factorization of 35454 and 35470. After we will calculate the factors of 35454 and 35470 and find the biggest common factor number .

Step-1: Prime Factorization of 35454

Prime factors of 35454 are 2, 3, 19, 311. Prime factorization of 35454 in exponential form is:

35454 = 2¹ × 3¹ × 19¹ × 311¹

Step-2: Prime Factorization of 35470

Prime factors of 35470 are 2, 5, 3547. Prime factorization of 35470 in exponential form is:

35470 = 2¹ × 5¹ × 3547¹

Step-3: Factors of 35454

List of positive integer factors of 35454 that divides 35454 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 311, 622, 933, 1866, 5909, 11818, 17727

Step-4: Factors of 35470

List of positive integer factors of 35470 that divides 35454 without a remainder.

1, 2, 5, 10, 3547, 7094, 17735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35454 and 35470. The biggest common factor number is the GCF number.
So the greatest common factor 35454 and 35470 is 2.

Also check out the Least Common Multiple of 35454 and 35470