What is the Greatest Common Factor of 61278 and 61287?

Greatest common factor (GCF) of 61278 and 61287 is 3.

GCF(61278,61287) = 3

We will now calculate the prime factors of 61278 and 61287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61278 and 61287.

How to find the GCF of 61278 and 61287?

We will first find the prime factorization of 61278 and 61287. After we will calculate the factors of 61278 and 61287 and find the biggest common factor number .

Step-1: Prime Factorization of 61278

Prime factors of 61278 are 2, 3, 7, 1459. Prime factorization of 61278 in exponential form is:

61278 = 2¹ × 3¹ × 7¹ × 1459¹

Step-2: Prime Factorization of 61287

Prime factors of 61287 are 3, 31, 659. Prime factorization of 61287 in exponential form is:

61287 = 3¹ × 31¹ × 659¹

Step-3: Factors of 61278

List of positive integer factors of 61278 that divides 61278 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1459, 2918, 4377, 8754, 10213, 20426, 30639

Step-4: Factors of 61287

List of positive integer factors of 61287 that divides 61278 without a remainder.

1, 3, 31, 93, 659, 1977, 20429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61278 and 61287. The biggest common factor number is the GCF number.
So the greatest common factor 61278 and 61287 is 3.

Also check out the Least Common Multiple of 61278 and 61287