What is the Greatest Common Factor of 61278 and 61292?

Greatest common factor (GCF) of 61278 and 61292 is 14.

GCF(61278,61292) = 14

We will now calculate the prime factors of 61278 and 61292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61278 and 61292.

How to find the GCF of 61278 and 61292?

We will first find the prime factorization of 61278 and 61292. After we will calculate the factors of 61278 and 61292 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 61292

Prime factors of 61292 are 2, 7, 11, 199. Prime factorization of 61292 in exponential form is:

61292 = 2² × 7¹ × 11¹ × 199¹

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 61292

List of positive integer factors of 61292 that divides 61278 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 199, 308, 398, 796, 1393, 2189, 2786, 4378, 5572, 8756, 15323, 30646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61278 and 61292. The biggest common factor number is the GCF number.
So the greatest common factor 61278 and 61292 is 14.

Also check out the Least Common Multiple of 61278 and 61292