What is the Greatest Common Factor of 92720 and 92739?

Greatest common factor (GCF) of 92720 and 92739 is 19.

GCF(92720,92739) = 19

We will now calculate the prime factors of 92720 and 92739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92720 and 92739.

How to find the GCF of 92720 and 92739?

We will first find the prime factorization of 92720 and 92739. After we will calculate the factors of 92720 and 92739 and find the biggest common factor number .

Step-1: Prime Factorization of 92720

Prime factors of 92720 are 2, 5, 19, 61. Prime factorization of 92720 in exponential form is:

92720 = 2⁴ × 5¹ × 19¹ × 61¹

Step-2: Prime Factorization of 92739

Prime factors of 92739 are 3, 19, 1627. Prime factorization of 92739 in exponential form is:

92739 = 3¹ × 19¹ × 1627¹

Step-3: Factors of 92720

List of positive integer factors of 92720 that divides 92720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 61, 76, 80, 95, 122, 152, 190, 244, 304, 305, 380, 488, 610, 760, 976, 1159, 1220, 1520, 2318, 2440, 4636, 4880, 5795, 9272, 11590, 18544, 23180, 46360

Step-4: Factors of 92739

List of positive integer factors of 92739 that divides 92720 without a remainder.

1, 3, 19, 57, 1627, 4881, 30913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92720 and 92739. The biggest common factor number is the GCF number.
So the greatest common factor 92720 and 92739 is 19.

Also check out the Least Common Multiple of 92720 and 92739