What is the Greatest Common Factor of 68720 and 68739?

Greatest common factor (GCF) of 68720 and 68739 is 1.

GCF(68720,68739) = 1

We will now calculate the prime factors of 68720 and 68739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68720 and 68739.

How to find the GCF of 68720 and 68739?

We will first find the prime factorization of 68720 and 68739. After we will calculate the factors of 68720 and 68739 and find the biggest common factor number .

Step-1: Prime Factorization of 68720

Prime factors of 68720 are 2, 5, 859. Prime factorization of 68720 in exponential form is:

68720 = 2⁴ × 5¹ × 859¹

Step-2: Prime Factorization of 68739

Prime factors of 68739 are 3, 11, 2083. Prime factorization of 68739 in exponential form is:

68739 = 3¹ × 11¹ × 2083¹

Step-3: Factors of 68720

List of positive integer factors of 68720 that divides 68720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 859, 1718, 3436, 4295, 6872, 8590, 13744, 17180, 34360

Step-4: Factors of 68739

List of positive integer factors of 68739 that divides 68720 without a remainder.

1, 3, 11, 33, 2083, 6249, 22913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68720 and 68739. The biggest common factor number is the GCF number.
So the greatest common factor 68720 and 68739 is 1.

Also check out the Least Common Multiple of 68720 and 68739