What is the Greatest Common Factor of 78722 and 78736?

Greatest common factor (GCF) of 78722 and 78736 is 14.

GCF(78722,78736) = 14

We will now calculate the prime factors of 78722 and 78736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78722 and 78736.

How to find the GCF of 78722 and 78736?

We will first find the prime factorization of 78722 and 78736. After we will calculate the factors of 78722 and 78736 and find the biggest common factor number .

Step-1: Prime Factorization of 78722

Prime factors of 78722 are 2, 7, 5623. Prime factorization of 78722 in exponential form is:

78722 = 2¹ × 7¹ × 5623¹

Step-2: 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-3: Factors of 78722

List of positive integer factors of 78722 that divides 78722 without a remainder.

1, 2, 7, 14, 5623, 11246, 39361

Step-4: Factors of 78736

List of positive integer factors of 78736 that divides 78722 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78722 and 78736. The biggest common factor number is the GCF number.
So the greatest common factor 78722 and 78736 is 14.

Also check out the Least Common Multiple of 78722 and 78736