What is the Greatest Common Factor of 45430 and 45444?

Greatest common factor (GCF) of 45430 and 45444 is 14.

GCF(45430,45444) = 14

We will now calculate the prime factors of 45430 and 45444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45430 and 45444.

How to find the GCF of 45430 and 45444?

We will first find the prime factorization of 45430 and 45444. After we will calculate the factors of 45430 and 45444 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45444

Prime factors of 45444 are 2, 3, 7, 541. Prime factorization of 45444 in exponential form is:

45444 = 2² × 3¹ × 7¹ × 541¹

Step-3: Factors of 45430

List of positive integer factors of 45430 that divides 45430 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

Step-4: Factors of 45444

List of positive integer factors of 45444 that divides 45430 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 541, 1082, 1623, 2164, 3246, 3787, 6492, 7574, 11361, 15148, 22722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45430 and 45444. The biggest common factor number is the GCF number.
So the greatest common factor 45430 and 45444 is 14.

Also check out the Least Common Multiple of 45430 and 45444