What is the Greatest Common Factor of 61491 and 61506?

Greatest common factor (GCF) of 61491 and 61506 is 3.

GCF(61491,61506) = 3

We will now calculate the prime factors of 61491 and 61506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61491 and 61506.

How to find the GCF of 61491 and 61506?

We will first find the prime factorization of 61491 and 61506. After we will calculate the factors of 61491 and 61506 and find the biggest common factor number .

Step-1: Prime Factorization of 61491

Prime factors of 61491 are 3, 103, 199. Prime factorization of 61491 in exponential form is:

61491 = 3¹ × 103¹ × 199¹

Step-2: 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-3: Factors of 61491

List of positive integer factors of 61491 that divides 61491 without a remainder.

1, 3, 103, 199, 309, 597, 20497

Step-4: Factors of 61506

List of positive integer factors of 61506 that divides 61491 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61491 and 61506. The biggest common factor number is the GCF number.
So the greatest common factor 61491 and 61506 is 3.

Also check out the Least Common Multiple of 61491 and 61506