What is the Greatest Common Factor of 61476 and 61491?

Greatest common factor (GCF) of 61476 and 61491 is 3.

GCF(61476,61491) = 3

We will now calculate the prime factors of 61476 and 61491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61476 and 61491.

How to find the GCF of 61476 and 61491?

We will first find the prime factorization of 61476 and 61491. After we will calculate the factors of 61476 and 61491 and find the biggest common factor number .

Step-1: Prime Factorization of 61476

Prime factors of 61476 are 2, 3, 47, 109. Prime factorization of 61476 in exponential form is:

61476 = 2² × 3¹ × 47¹ × 109¹

Step-2: 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-3: Factors of 61476

List of positive integer factors of 61476 that divides 61476 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 109, 141, 188, 218, 282, 327, 436, 564, 654, 1308, 5123, 10246, 15369, 20492, 30738

Step-4: Factors of 61491

List of positive integer factors of 61491 that divides 61476 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61476 and 61491. The biggest common factor number is the GCF number.
So the greatest common factor 61476 and 61491 is 3.

Also check out the Least Common Multiple of 61476 and 61491