What is the Greatest Common Factor of 45437 and 45444?

Greatest common factor (GCF) of 45437 and 45444 is 7.

GCF(45437,45444) = 7

We will now calculate the prime factors of 45437 and 45444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45437 and 45444.

How to find the GCF of 45437 and 45444?

We will first find the prime factorization of 45437 and 45444. After we will calculate the factors of 45437 and 45444 and find the biggest common factor number .

Step-1: Prime Factorization of 45437

Prime factors of 45437 are 7, 6491. Prime factorization of 45437 in exponential form is:

45437 = 7¹ × 6491¹

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 45437

List of positive integer factors of 45437 that divides 45437 without a remainder.

1, 7, 6491

Step-4: Factors of 45444

List of positive integer factors of 45444 that divides 45437 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 45437 and 45444. The biggest common factor number is the GCF number.
So the greatest common factor 45437 and 45444 is 7.

Also check out the Least Common Multiple of 45437 and 45444