What is the Greatest Common Factor of 78736 and 78754?

Greatest common factor (GCF) of 78736 and 78754 is 2.

GCF(78736,78754) = 2

We will now calculate the prime factors of 78736 and 78754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78736 and 78754.

How to find the GCF of 78736 and 78754?

We will first find the prime factorization of 78736 and 78754. After we will calculate the factors of 78736 and 78754 and find the biggest common factor number .

Step-1: Prime Factorization of 78736

Prime factors of 78736 are 2, 7, 19, 37. Prime factorization of 78736 in exponential form is:

78736 = 2⁴ × 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 78754

Prime factors of 78754 are 2, 13, 233. Prime factorization of 78754 in exponential form is:

78754 = 2¹ × 13² × 233¹

Step-3: Factors of 78736

List of positive integer factors of 78736 that divides 78736 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 37, 38, 56, 74, 76, 112, 133, 148, 152, 259, 266, 296, 304, 518, 532, 592, 703, 1036, 1064, 1406, 2072, 2128, 2812, 4144, 4921, 5624, 9842, 11248, 19684, 39368

Step-4: Factors of 78754

List of positive integer factors of 78754 that divides 78736 without a remainder.

1, 2, 13, 26, 169, 233, 338, 466, 3029, 6058, 39377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78736 and 78754. The biggest common factor number is the GCF number.
So the greatest common factor 78736 and 78754 is 2.

Also check out the Least Common Multiple of 78736 and 78754