What is the Greatest Common Factor of 92720 and 92732?

Greatest common factor (GCF) of 92720 and 92732 is 4.

GCF(92720,92732) = 4

We will now calculate the prime factors of 92720 and 92732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92720 and 92732.

How to find the GCF of 92720 and 92732?

We will first find the prime factorization of 92720 and 92732. After we will calculate the factors of 92720 and 92732 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 92732

Prime factors of 92732 are 2, 97, 239. Prime factorization of 92732 in exponential form is:

92732 = 2² × 97¹ × 239¹

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 92732

List of positive integer factors of 92732 that divides 92720 without a remainder.

1, 2, 4, 97, 194, 239, 388, 478, 956, 23183, 46366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92720 and 92732. The biggest common factor number is the GCF number.
So the greatest common factor 92720 and 92732 is 4.

Also check out the Least Common Multiple of 92720 and 92732