What is the Greatest Common Factor of 73228 and 73236?

Greatest common factor (GCF) of 73228 and 73236 is 4.

GCF(73228,73236) = 4

We will now calculate the prime factors of 73228 and 73236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73228 and 73236.

How to find the GCF of 73228 and 73236?

We will first find the prime factorization of 73228 and 73236. After we will calculate the factors of 73228 and 73236 and find the biggest common factor number .

Step-1: Prime Factorization of 73228

Prime factors of 73228 are 2, 18307. Prime factorization of 73228 in exponential form is:

73228 = 2² × 18307¹

Step-2: Prime Factorization of 73236

Prime factors of 73236 are 2, 3, 17, 359. Prime factorization of 73236 in exponential form is:

73236 = 2² × 3¹ × 17¹ × 359¹

Step-3: Factors of 73228

List of positive integer factors of 73228 that divides 73228 without a remainder.

1, 2, 4, 18307, 36614

Step-4: Factors of 73236

List of positive integer factors of 73236 that divides 73228 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 359, 718, 1077, 1436, 2154, 4308, 6103, 12206, 18309, 24412, 36618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73228 and 73236. The biggest common factor number is the GCF number.
So the greatest common factor 73228 and 73236 is 4.

Also check out the Least Common Multiple of 73228 and 73236