What is the Greatest Common Factor of 45632 and 45646?

Greatest common factor (GCF) of 45632 and 45646 is 2.

GCF(45632,45646) = 2

We will now calculate the prime factors of 45632 and 45646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45632 and 45646.

How to find the GCF of 45632 and 45646?

We will first find the prime factorization of 45632 and 45646. After we will calculate the factors of 45632 and 45646 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 45646

Prime factors of 45646 are 2, 29, 787. Prime factorization of 45646 in exponential form is:

45646 = 2¹ × 29¹ × 787¹

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 45646

List of positive integer factors of 45646 that divides 45632 without a remainder.

1, 2, 29, 58, 787, 1574, 22823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45632 and 45646. The biggest common factor number is the GCF number.
So the greatest common factor 45632 and 45646 is 2.

Also check out the Least Common Multiple of 45632 and 45646