What is the Greatest Common Factor of 72124 and 72133?

Greatest common factor (GCF) of 72124 and 72133 is 1.

GCF(72124,72133) = 1

We will now calculate the prime factors of 72124 and 72133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72124 and 72133.

How to find the GCF of 72124 and 72133?

We will first find the prime factorization of 72124 and 72133. After we will calculate the factors of 72124 and 72133 and find the biggest common factor number .

Step-1: Prime Factorization of 72124

Prime factors of 72124 are 2, 13, 19, 73. Prime factorization of 72124 in exponential form is:

72124 = 2² × 13¹ × 19¹ × 73¹

Step-2: Prime Factorization of 72133

Prime factors of 72133 are 53, 1361. Prime factorization of 72133 in exponential form is:

72133 = 53¹ × 1361¹

Step-3: Factors of 72124

List of positive integer factors of 72124 that divides 72124 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 73, 76, 146, 247, 292, 494, 949, 988, 1387, 1898, 2774, 3796, 5548, 18031, 36062

Step-4: Factors of 72133

List of positive integer factors of 72133 that divides 72124 without a remainder.

1, 53, 1361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72124 and 72133. The biggest common factor number is the GCF number.
So the greatest common factor 72124 and 72133 is 1.

Also check out the Least Common Multiple of 72124 and 72133