What is the Greatest Common Factor of 72506 and 72520?

Greatest common factor (GCF) of 72506 and 72520 is 14.

GCF(72506,72520) = 14

We will now calculate the prime factors of 72506 and 72520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72506 and 72520.

How to find the GCF of 72506 and 72520?

We will first find the prime factorization of 72506 and 72520. After we will calculate the factors of 72506 and 72520 and find the biggest common factor number .

Step-1: Prime Factorization of 72506

Prime factors of 72506 are 2, 7, 5179. Prime factorization of 72506 in exponential form is:

72506 = 2¹ × 7¹ × 5179¹

Step-2: Prime Factorization of 72520

Prime factors of 72520 are 2, 5, 7, 37. Prime factorization of 72520 in exponential form is:

72520 = 2³ × 5¹ × 7² × 37¹

Step-3: Factors of 72506

List of positive integer factors of 72506 that divides 72506 without a remainder.

1, 2, 7, 14, 5179, 10358, 36253

Step-4: Factors of 72520

List of positive integer factors of 72520 that divides 72506 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 37, 40, 49, 56, 70, 74, 98, 140, 148, 185, 196, 245, 259, 280, 296, 370, 392, 490, 518, 740, 980, 1036, 1295, 1480, 1813, 1960, 2072, 2590, 3626, 5180, 7252, 9065, 10360, 14504, 18130, 36260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72506 and 72520. The biggest common factor number is the GCF number.
So the greatest common factor 72506 and 72520 is 14.

Also check out the Least Common Multiple of 72506 and 72520