What is the Greatest Common Factor of 45632 and 45652?

Greatest common factor (GCF) of 45632 and 45652 is 4.

GCF(45632,45652) = 4

We will now calculate the prime factors of 45632 and 45652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45632 and 45652.

How to find the GCF of 45632 and 45652?

We will first find the prime factorization of 45632 and 45652. After we will calculate the factors of 45632 and 45652 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 45652

Prime factors of 45652 are 2, 101, 113. Prime factorization of 45652 in exponential form is:

45652 = 2² × 101¹ × 113¹

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 45652

List of positive integer factors of 45652 that divides 45632 without a remainder.

1, 2, 4, 101, 113, 202, 226, 404, 452, 11413, 22826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45632 and 45652. The biggest common factor number is the GCF number.
So the greatest common factor 45632 and 45652 is 4.

Also check out the Least Common Multiple of 45632 and 45652