What is the Greatest Common Factor of 61523 and 61540?

Greatest common factor (GCF) of 61523 and 61540 is 17.

GCF(61523,61540) = 17

We will now calculate the prime factors of 61523 and 61540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61523 and 61540.

How to find the GCF of 61523 and 61540?

We will first find the prime factorization of 61523 and 61540. After we will calculate the factors of 61523 and 61540 and find the biggest common factor number .

Step-1: Prime Factorization of 61523

Prime factors of 61523 are 7, 11, 17, 47. Prime factorization of 61523 in exponential form is:

61523 = 7¹ × 11¹ × 17¹ × 47¹

Step-2: Prime Factorization of 61540

Prime factors of 61540 are 2, 5, 17, 181. Prime factorization of 61540 in exponential form is:

61540 = 2² × 5¹ × 17¹ × 181¹

Step-3: Factors of 61523

List of positive integer factors of 61523 that divides 61523 without a remainder.

1, 7, 11, 17, 47, 77, 119, 187, 329, 517, 799, 1309, 3619, 5593, 8789

Step-4: Factors of 61540

List of positive integer factors of 61540 that divides 61523 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 181, 340, 362, 724, 905, 1810, 3077, 3620, 6154, 12308, 15385, 30770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61523 and 61540. The biggest common factor number is the GCF number.
So the greatest common factor 61523 and 61540 is 17.

Also check out the Least Common Multiple of 61523 and 61540