What is the Greatest Common Factor of 35450 and 35464?

Greatest common factor (GCF) of 35450 and 35464 is 2.

GCF(35450,35464) = 2

We will now calculate the prime factors of 35450 and 35464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35450 and 35464.

How to find the GCF of 35450 and 35464?

We will first find the prime factorization of 35450 and 35464. After we will calculate the factors of 35450 and 35464 and find the biggest common factor number .

Step-1: Prime Factorization of 35450

Prime factors of 35450 are 2, 5, 709. Prime factorization of 35450 in exponential form is:

35450 = 2¹ × 5² × 709¹

Step-2: Prime Factorization of 35464

Prime factors of 35464 are 2, 11, 13, 31. Prime factorization of 35464 in exponential form is:

35464 = 2³ × 11¹ × 13¹ × 31¹

Step-3: Factors of 35450

List of positive integer factors of 35450 that divides 35450 without a remainder.

1, 2, 5, 10, 25, 50, 709, 1418, 3545, 7090, 17725

Step-4: Factors of 35464

List of positive integer factors of 35464 that divides 35450 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 31, 44, 52, 62, 88, 104, 124, 143, 248, 286, 341, 403, 572, 682, 806, 1144, 1364, 1612, 2728, 3224, 4433, 8866, 17732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35450 and 35464. The biggest common factor number is the GCF number.
So the greatest common factor 35450 and 35464 is 2.

Also check out the Least Common Multiple of 35450 and 35464