What is the Greatest Common Factor of 45632 and 45638?

Greatest common factor (GCF) of 45632 and 45638 is 2.

GCF(45632,45638) = 2

We will now calculate the prime factors of 45632 and 45638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45632 and 45638.

How to find the GCF of 45632 and 45638?

We will first find the prime factorization of 45632 and 45638. After we will calculate the factors of 45632 and 45638 and find the biggest common factor number .

Step-1: Prime Factorization of 45632

Prime factors of 45632 are 2, 23, 31. Prime factorization of 45632 in exponential form is:

45632 = 2⁶ × 23¹ × 31¹

Step-2: 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-3: Factors of 45632

List of positive integer factors of 45632 that divides 45632 without a remainder.

1, 2, 4, 8, 16, 23, 31, 32, 46, 62, 64, 92, 124, 184, 248, 368, 496, 713, 736, 992, 1426, 1472, 1984, 2852, 5704, 11408, 22816

Step-4: Factors of 45638

List of positive integer factors of 45638 that divides 45632 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45632 and 45638. The biggest common factor number is the GCF number.
So the greatest common factor 45632 and 45638 is 2.

Also check out the Least Common Multiple of 45632 and 45638