What is the Greatest Common Factor of 45435 and 45444?

Greatest common factor (GCF) of 45435 and 45444 is 3.

GCF(45435,45444) = 3

We will now calculate the prime factors of 45435 and 45444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45435 and 45444.

How to find the GCF of 45435 and 45444?

We will first find the prime factorization of 45435 and 45444. After we will calculate the factors of 45435 and 45444 and find the biggest common factor number .

Step-1: Prime Factorization of 45435

Prime factors of 45435 are 3, 5, 13, 233. Prime factorization of 45435 in exponential form is:

45435 = 3¹ × 5¹ × 13¹ × 233¹

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 45435

List of positive integer factors of 45435 that divides 45435 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 233, 699, 1165, 3029, 3495, 9087, 15145

Step-4: Factors of 45444

List of positive integer factors of 45444 that divides 45435 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 45435 and 45444. The biggest common factor number is the GCF number.
So the greatest common factor 45435 and 45444 is 3.

Also check out the Least Common Multiple of 45435 and 45444