What is the Greatest Common Factor of 45537 and 45552?

Greatest common factor (GCF) of 45537 and 45552 is 3.

GCF(45537,45552) = 3

We will now calculate the prime factors of 45537 and 45552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45537 and 45552.

How to find the GCF of 45537 and 45552?

We will first find the prime factorization of 45537 and 45552. After we will calculate the factors of 45537 and 45552 and find the biggest common factor number .

Step-1: Prime Factorization of 45537

Prime factors of 45537 are 3, 43, 353. Prime factorization of 45537 in exponential form is:

45537 = 3¹ × 43¹ × 353¹

Step-2: Prime Factorization of 45552

Prime factors of 45552 are 2, 3, 13, 73. Prime factorization of 45552 in exponential form is:

45552 = 2⁴ × 3¹ × 13¹ × 73¹

Step-3: Factors of 45537

List of positive integer factors of 45537 that divides 45537 without a remainder.

1, 3, 43, 129, 353, 1059, 15179

Step-4: Factors of 45552

List of positive integer factors of 45552 that divides 45537 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 73, 78, 104, 146, 156, 208, 219, 292, 312, 438, 584, 624, 876, 949, 1168, 1752, 1898, 2847, 3504, 3796, 5694, 7592, 11388, 15184, 22776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45537 and 45552. The biggest common factor number is the GCF number.
So the greatest common factor 45537 and 45552 is 3.

Also check out the Least Common Multiple of 45537 and 45552