What is the Greatest Common Factor of 78320 and 78337?

Greatest common factor (GCF) of 78320 and 78337 is 1.

GCF(78320,78337) = 1

We will now calculate the prime factors of 78320 and 78337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78320 and 78337.

How to find the GCF of 78320 and 78337?

We will first find the prime factorization of 78320 and 78337. After we will calculate the factors of 78320 and 78337 and find the biggest common factor number .

Step-1: Prime Factorization of 78320

Prime factors of 78320 are 2, 5, 11, 89. Prime factorization of 78320 in exponential form is:

78320 = 2⁴ × 5¹ × 11¹ × 89¹

Step-2: Prime Factorization of 78337

Prime factors of 78337 are 7, 19, 31. Prime factorization of 78337 in exponential form is:

78337 = 7¹ × 19² × 31¹

Step-3: Factors of 78320

List of positive integer factors of 78320 that divides 78320 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 89, 110, 176, 178, 220, 356, 440, 445, 712, 880, 890, 979, 1424, 1780, 1958, 3560, 3916, 4895, 7120, 7832, 9790, 15664, 19580, 39160

Step-4: Factors of 78337

List of positive integer factors of 78337 that divides 78320 without a remainder.

1, 7, 19, 31, 133, 217, 361, 589, 2527, 4123, 11191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78320 and 78337. The biggest common factor number is the GCF number.
So the greatest common factor 78320 and 78337 is 1.

Also check out the Least Common Multiple of 78320 and 78337