What is the Greatest Common Factor of 72105 and 72124?

Greatest common factor (GCF) of 72105 and 72124 is 19.

GCF(72105,72124) = 19

We will now calculate the prime factors of 72105 and 72124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72105 and 72124.

How to find the GCF of 72105 and 72124?

We will first find the prime factorization of 72105 and 72124. After we will calculate the factors of 72105 and 72124 and find the biggest common factor number .

Step-1: Prime Factorization of 72105

Prime factors of 72105 are 3, 5, 11, 19, 23. Prime factorization of 72105 in exponential form is:

72105 = 3¹ × 5¹ × 11¹ × 19¹ × 23¹

Step-2: 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-3: Factors of 72105

List of positive integer factors of 72105 that divides 72105 without a remainder.

1, 3, 5, 11, 15, 19, 23, 33, 55, 57, 69, 95, 115, 165, 209, 253, 285, 345, 437, 627, 759, 1045, 1265, 1311, 2185, 3135, 3795, 4807, 6555, 14421, 24035

Step-4: Factors of 72124

List of positive integer factors of 72124 that divides 72105 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72105 and 72124. The biggest common factor number is the GCF number.
So the greatest common factor 72105 and 72124 is 19.

Also check out the Least Common Multiple of 72105 and 72124