What is the Greatest Common Factor of 45638 and 45657?

Greatest common factor (GCF) of 45638 and 45657 is 19.

GCF(45638,45657) = 19

We will now calculate the prime factors of 45638 and 45657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45638 and 45657.

How to find the GCF of 45638 and 45657?

We will first find the prime factorization of 45638 and 45657. After we will calculate the factors of 45638 and 45657 and find the biggest common factor number .

Step-1: Prime Factorization of 45638

Prime factors of 45638 are 2, 19, 1201. Prime factorization of 45638 in exponential form is:

45638 = 2¹ × 19¹ × 1201¹

Step-2: Prime Factorization of 45657

Prime factors of 45657 are 3, 19, 89. Prime factorization of 45657 in exponential form is:

45657 = 3³ × 19¹ × 89¹

Step-3: Factors of 45638

List of positive integer factors of 45638 that divides 45638 without a remainder.

1, 2, 19, 38, 1201, 2402, 22819

Step-4: Factors of 45657

List of positive integer factors of 45657 that divides 45638 without a remainder.

1, 3, 9, 19, 27, 57, 89, 171, 267, 513, 801, 1691, 2403, 5073, 15219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45638 and 45657. The biggest common factor number is the GCF number.
So the greatest common factor 45638 and 45657 is 19.

Also check out the Least Common Multiple of 45638 and 45657