What is the Greatest Common Factor of 72512 and 72523?

Greatest common factor (GCF) of 72512 and 72523 is 11.

GCF(72512,72523) = 11

We will now calculate the prime factors of 72512 and 72523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72512 and 72523.

How to find the GCF of 72512 and 72523?

We will first find the prime factorization of 72512 and 72523. After we will calculate the factors of 72512 and 72523 and find the biggest common factor number .

Step-1: Prime Factorization of 72512

Prime factors of 72512 are 2, 11, 103. Prime factorization of 72512 in exponential form is:

72512 = 2⁶ × 11¹ × 103¹

Step-2: 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-3: Factors of 72512

List of positive integer factors of 72512 that divides 72512 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 103, 176, 206, 352, 412, 704, 824, 1133, 1648, 2266, 3296, 4532, 6592, 9064, 18128, 36256

Step-4: Factors of 72523

List of positive integer factors of 72523 that divides 72512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72512 and 72523. The biggest common factor number is the GCF number.
So the greatest common factor 72512 and 72523 is 11.

Also check out the Least Common Multiple of 72512 and 72523