What is the Greatest Common Factor of 45416 and 45430?

Greatest common factor (GCF) of 45416 and 45430 is 14.

GCF(45416,45430) = 14

We will now calculate the prime factors of 45416 and 45430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45416 and 45430.

How to find the GCF of 45416 and 45430?

We will first find the prime factorization of 45416 and 45430. After we will calculate the factors of 45416 and 45430 and find the biggest common factor number .

Step-1: Prime Factorization of 45416

Prime factors of 45416 are 2, 7, 811. Prime factorization of 45416 in exponential form is:

45416 = 2³ × 7¹ × 811¹

Step-2: Prime Factorization of 45430

Prime factors of 45430 are 2, 5, 7, 11, 59. Prime factorization of 45430 in exponential form is:

45430 = 2¹ × 5¹ × 7¹ × 11¹ × 59¹

Step-3: Factors of 45416

List of positive integer factors of 45416 that divides 45416 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 811, 1622, 3244, 5677, 6488, 11354, 22708

Step-4: Factors of 45430

List of positive integer factors of 45430 that divides 45416 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 59, 70, 77, 110, 118, 154, 295, 385, 413, 590, 649, 770, 826, 1298, 2065, 3245, 4130, 4543, 6490, 9086, 22715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45416 and 45430. The biggest common factor number is the GCF number.
So the greatest common factor 45416 and 45430 is 14.

Also check out the Least Common Multiple of 45416 and 45430