What is the Greatest Common Factor of 61264 and 61278?

Greatest common factor (GCF) of 61264 and 61278 is 14.

GCF(61264,61278) = 14

We will now calculate the prime factors of 61264 and 61278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61264 and 61278.

How to find the GCF of 61264 and 61278?

We will first find the prime factorization of 61264 and 61278. After we will calculate the factors of 61264 and 61278 and find the biggest common factor number .

Step-1: Prime Factorization of 61264

Prime factors of 61264 are 2, 7, 547. Prime factorization of 61264 in exponential form is:

61264 = 2⁴ × 7¹ × 547¹

Step-2: 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-3: Factors of 61264

List of positive integer factors of 61264 that divides 61264 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 547, 1094, 2188, 3829, 4376, 7658, 8752, 15316, 30632

Step-4: Factors of 61278

List of positive integer factors of 61278 that divides 61264 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61264 and 61278. The biggest common factor number is the GCF number.
So the greatest common factor 61264 and 61278 is 14.

Also check out the Least Common Multiple of 61264 and 61278