What is the Greatest Common Factor of 72490 and 72505?

Greatest common factor (GCF) of 72490 and 72505 is 5.

GCF(72490,72505) = 5

We will now calculate the prime factors of 72490 and 72505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72490 and 72505.

How to find the GCF of 72490 and 72505?

We will first find the prime factorization of 72490 and 72505. After we will calculate the factors of 72490 and 72505 and find the biggest common factor number .

Step-1: Prime Factorization of 72490

Prime factors of 72490 are 2, 5, 11, 659. Prime factorization of 72490 in exponential form is:

72490 = 2¹ × 5¹ × 11¹ × 659¹

Step-2: Prime Factorization of 72505

Prime factors of 72505 are 5, 17, 853. Prime factorization of 72505 in exponential form is:

72505 = 5¹ × 17¹ × 853¹

Step-3: Factors of 72490

List of positive integer factors of 72490 that divides 72490 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 659, 1318, 3295, 6590, 7249, 14498, 36245

Step-4: Factors of 72505

List of positive integer factors of 72505 that divides 72490 without a remainder.

1, 5, 17, 85, 853, 4265, 14501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72490 and 72505. The biggest common factor number is the GCF number.
So the greatest common factor 72490 and 72505 is 5.

Also check out the Least Common Multiple of 72490 and 72505