What is the Greatest Common Factor of 73264 and 73282?

Greatest common factor (GCF) of 73264 and 73282 is 2.

GCF(73264,73282) = 2

We will now calculate the prime factors of 73264 and 73282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73264 and 73282.

How to find the GCF of 73264 and 73282?

We will first find the prime factorization of 73264 and 73282. After we will calculate the factors of 73264 and 73282 and find the biggest common factor number .

Step-1: Prime Factorization of 73264

Prime factors of 73264 are 2, 19, 241. Prime factorization of 73264 in exponential form is:

73264 = 2⁴ × 19¹ × 241¹

Step-2: Prime Factorization of 73282

Prime factors of 73282 are 2, 11, 3331. Prime factorization of 73282 in exponential form is:

73282 = 2¹ × 11¹ × 3331¹

Step-3: Factors of 73264

List of positive integer factors of 73264 that divides 73264 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 241, 304, 482, 964, 1928, 3856, 4579, 9158, 18316, 36632

Step-4: Factors of 73282

List of positive integer factors of 73282 that divides 73264 without a remainder.

1, 2, 11, 22, 3331, 6662, 36641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73264 and 73282. The biggest common factor number is the GCF number.
So the greatest common factor 73264 and 73282 is 2.

Also check out the Least Common Multiple of 73264 and 73282