What is the Greatest Common Factor of 61506 and 61523?

Greatest common factor (GCF) of 61506 and 61523 is 17.

GCF(61506,61523) = 17

We will now calculate the prime factors of 61506 and 61523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61506 and 61523.

How to find the GCF of 61506 and 61523?

We will first find the prime factorization of 61506 and 61523. After we will calculate the factors of 61506 and 61523 and find the biggest common factor number .

Step-1: Prime Factorization of 61506

Prime factors of 61506 are 2, 3, 17, 67. Prime factorization of 61506 in exponential form is:

61506 = 2¹ × 3³ × 17¹ × 67¹

Step-2: 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-3: Factors of 61506

List of positive integer factors of 61506 that divides 61506 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 67, 102, 134, 153, 201, 306, 402, 459, 603, 918, 1139, 1206, 1809, 2278, 3417, 3618, 6834, 10251, 20502, 30753

Step-4: Factors of 61523

List of positive integer factors of 61523 that divides 61506 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61506 and 61523. The biggest common factor number is the GCF number.
So the greatest common factor 61506 and 61523 is 17.

Also check out the Least Common Multiple of 61506 and 61523