What is the Greatest Common Factor of 72523 and 72534?

Greatest common factor (GCF) of 72523 and 72534 is 11.

GCF(72523,72534) = 11

We will now calculate the prime factors of 72523 and 72534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72523 and 72534.

How to find the GCF of 72523 and 72534?

We will first find the prime factorization of 72523 and 72534. After we will calculate the factors of 72523 and 72534 and find the biggest common factor number .

Step-1: Prime Factorization of 72523

Prime factors of 72523 are 11, 19, 347. Prime factorization of 72523 in exponential form is:

72523 = 11¹ × 19¹ × 347¹

Step-2: Prime Factorization of 72534

Prime factors of 72534 are 2, 3, 7, 11, 157. Prime factorization of 72534 in exponential form is:

72534 = 2¹ × 3¹ × 7¹ × 11¹ × 157¹

Step-3: Factors of 72523

List of positive integer factors of 72523 that divides 72523 without a remainder.

1, 11, 19, 209, 347, 3817, 6593

Step-4: Factors of 72534

List of positive integer factors of 72534 that divides 72523 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 157, 231, 314, 462, 471, 942, 1099, 1727, 2198, 3297, 3454, 5181, 6594, 10362, 12089, 24178, 36267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72523 and 72534. The biggest common factor number is the GCF number.
So the greatest common factor 72523 and 72534 is 11.

Also check out the Least Common Multiple of 72523 and 72534