What is the Greatest Common Factor of 73552 and 73566?

Greatest common factor (GCF) of 73552 and 73566 is 2.

GCF(73552,73566) = 2

We will now calculate the prime factors of 73552 and 73566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73552 and 73566.

How to find the GCF of 73552 and 73566?

We will first find the prime factorization of 73552 and 73566. After we will calculate the factors of 73552 and 73566 and find the biggest common factor number .

Step-1: Prime Factorization of 73552

Prime factors of 73552 are 2, 4597. Prime factorization of 73552 in exponential form is:

73552 = 2⁴ × 4597¹

Step-2: Prime Factorization of 73566

Prime factors of 73566 are 2, 3, 61, 67. Prime factorization of 73566 in exponential form is:

73566 = 2¹ × 3² × 61¹ × 67¹

Step-3: Factors of 73552

List of positive integer factors of 73552 that divides 73552 without a remainder.

1, 2, 4, 8, 16, 4597, 9194, 18388, 36776

Step-4: Factors of 73566

List of positive integer factors of 73566 that divides 73552 without a remainder.

1, 2, 3, 6, 9, 18, 61, 67, 122, 134, 183, 201, 366, 402, 549, 603, 1098, 1206, 4087, 8174, 12261, 24522, 36783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73552 and 73566. The biggest common factor number is the GCF number.
So the greatest common factor 73552 and 73566 is 2.

Also check out the Least Common Multiple of 73552 and 73566