What is the Greatest Common Factor of 45552 and 45567?

Greatest common factor (GCF) of 45552 and 45567 is 3.

GCF(45552,45567) = 3

We will now calculate the prime factors of 45552 and 45567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45552 and 45567.

How to find the GCF of 45552 and 45567?

We will first find the prime factorization of 45552 and 45567. After we will calculate the factors of 45552 and 45567 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45567

Prime factors of 45567 are 3, 61, 83. Prime factorization of 45567 in exponential form is:

45567 = 3² × 61¹ × 83¹

Step-3: Factors of 45552

List of positive integer factors of 45552 that divides 45552 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

Step-4: Factors of 45567

List of positive integer factors of 45567 that divides 45552 without a remainder.

1, 3, 9, 61, 83, 183, 249, 549, 747, 5063, 15189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45552 and 45567. The biggest common factor number is the GCF number.
So the greatest common factor 45552 and 45567 is 3.

Also check out the Least Common Multiple of 45552 and 45567