What is the Greatest Common Factor of 46453 and 46464?

Greatest common factor (GCF) of 46453 and 46464 is 11.

GCF(46453,46464) = 11

We will now calculate the prime factors of 46453 and 46464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46453 and 46464.

How to find the GCF of 46453 and 46464?

We will first find the prime factorization of 46453 and 46464. After we will calculate the factors of 46453 and 46464 and find the biggest common factor number .

Step-1: Prime Factorization of 46453

Prime factors of 46453 are 11, 41, 103. Prime factorization of 46453 in exponential form is:

46453 = 11¹ × 41¹ × 103¹

Step-2: Prime Factorization of 46464

Prime factors of 46464 are 2, 3, 11. Prime factorization of 46464 in exponential form is:

46464 = 2⁷ × 3¹ × 11²

Step-3: Factors of 46453

List of positive integer factors of 46453 that divides 46453 without a remainder.

1, 11, 41, 103, 451, 1133, 4223

Step-4: Factors of 46464

List of positive integer factors of 46464 that divides 46453 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 121, 128, 132, 176, 192, 242, 264, 352, 363, 384, 484, 528, 704, 726, 968, 1056, 1408, 1452, 1936, 2112, 2904, 3872, 4224, 5808, 7744, 11616, 15488, 23232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46453 and 46464. The biggest common factor number is the GCF number.
So the greatest common factor 46453 and 46464 is 11.

Also check out the Least Common Multiple of 46453 and 46464