What is the Greatest Common Factor of 45444 and 45451?

Greatest common factor (GCF) of 45444 and 45451 is 7.

GCF(45444,45451) = 7

We will now calculate the prime factors of 45444 and 45451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45444 and 45451.

How to find the GCF of 45444 and 45451?

We will first find the prime factorization of 45444 and 45451. After we will calculate the factors of 45444 and 45451 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45451

Prime factors of 45451 are 7, 43, 151. Prime factorization of 45451 in exponential form is:

45451 = 7¹ × 43¹ × 151¹

Step-3: Factors of 45444

List of positive integer factors of 45444 that divides 45444 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

Step-4: Factors of 45451

List of positive integer factors of 45451 that divides 45444 without a remainder.

1, 7, 43, 151, 301, 1057, 6493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45444 and 45451. The biggest common factor number is the GCF number.
So the greatest common factor 45444 and 45451 is 7.

Also check out the Least Common Multiple of 45444 and 45451