What is the Greatest Common Factor of 35464 and 35472?

Greatest common factor (GCF) of 35464 and 35472 is 8.

GCF(35464,35472) = 8

We will now calculate the prime factors of 35464 and 35472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35464 and 35472.

How to find the GCF of 35464 and 35472?

We will first find the prime factorization of 35464 and 35472. After we will calculate the factors of 35464 and 35472 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35472

Prime factors of 35472 are 2, 3, 739. Prime factorization of 35472 in exponential form is:

35472 = 2⁴ × 3¹ × 739¹

Step-3: Factors of 35464

List of positive integer factors of 35464 that divides 35464 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

Step-4: Factors of 35472

List of positive integer factors of 35472 that divides 35464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 739, 1478, 2217, 2956, 4434, 5912, 8868, 11824, 17736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35464 and 35472. The biggest common factor number is the GCF number.
So the greatest common factor 35464 and 35472 is 8.

Also check out the Least Common Multiple of 35464 and 35472