What is the Greatest Common Factor of 78720 and 78737?

Greatest common factor (GCF) of 78720 and 78737 is 1.

GCF(78720,78737) = 1

We will now calculate the prime factors of 78720 and 78737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78720 and 78737.

How to find the GCF of 78720 and 78737?

We will first find the prime factorization of 78720 and 78737. After we will calculate the factors of 78720 and 78737 and find the biggest common factor number .

Step-1: Prime Factorization of 78720

Prime factors of 78720 are 2, 3, 5, 41. Prime factorization of 78720 in exponential form is:

78720 = 2⁷ × 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 78737

Prime factors of 78737 are 78737. Prime factorization of 78737 in exponential form is:

78737 = 78737¹

Step-3: Factors of 78720

List of positive integer factors of 78720 that divides 78720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 41, 48, 60, 64, 80, 82, 96, 120, 123, 128, 160, 164, 192, 205, 240, 246, 320, 328, 384, 410, 480, 492, 615, 640, 656, 820, 960, 984, 1230, 1312, 1640, 1920, 1968, 2460, 2624, 3280, 3936, 4920, 5248, 6560, 7872, 9840, 13120, 15744, 19680, 26240, 39360

Step-4: Factors of 78737

List of positive integer factors of 78737 that divides 78720 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78720 and 78737. The biggest common factor number is the GCF number.
So the greatest common factor 78720 and 78737 is 1.

Also check out the Least Common Multiple of 78720 and 78737