What is the Greatest Common Factor of 45426 and 45444?

Greatest common factor (GCF) of 45426 and 45444 is 6.

GCF(45426,45444) = 6

We will now calculate the prime factors of 45426 and 45444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45426 and 45444.

How to find the GCF of 45426 and 45444?

We will first find the prime factorization of 45426 and 45444. After we will calculate the factors of 45426 and 45444 and find the biggest common factor number .

Step-1: Prime Factorization of 45426

Prime factors of 45426 are 2, 3, 67, 113. Prime factorization of 45426 in exponential form is:

45426 = 2¹ × 3¹ × 67¹ × 113¹

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 45426

List of positive integer factors of 45426 that divides 45426 without a remainder.

1, 2, 3, 6, 67, 113, 134, 201, 226, 339, 402, 678, 7571, 15142, 22713

Step-4: Factors of 45444

List of positive integer factors of 45444 that divides 45426 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 45426 and 45444. The biggest common factor number is the GCF number.
So the greatest common factor 45426 and 45444 is 6.

Also check out the Least Common Multiple of 45426 and 45444