What is the Greatest Common Factor of 73229 and 73236?

Greatest common factor (GCF) of 73229 and 73236 is 1.

GCF(73229,73236) = 1

We will now calculate the prime factors of 73229 and 73236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73229 and 73236.

How to find the GCF of 73229 and 73236?

We will first find the prime factorization of 73229 and 73236. After we will calculate the factors of 73229 and 73236 and find the biggest common factor number .

Step-1: Prime Factorization of 73229

Prime factors of 73229 are 13, 43, 131. Prime factorization of 73229 in exponential form is:

73229 = 13¹ × 43¹ × 131¹

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 73229

List of positive integer factors of 73229 that divides 73229 without a remainder.

1, 13, 43, 131, 559, 1703, 5633

Step-4: Factors of 73236

List of positive integer factors of 73236 that divides 73229 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 73229 and 73236. The biggest common factor number is the GCF number.
So the greatest common factor 73229 and 73236 is 1.

Also check out the Least Common Multiple of 73229 and 73236