What is the Greatest Common Factor of 92748 and 92768?

Greatest common factor (GCF) of 92748 and 92768 is 4.

GCF(92748,92768) = 4

We will now calculate the prime factors of 92748 and 92768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92748 and 92768.

How to find the GCF of 92748 and 92768?

We will first find the prime factorization of 92748 and 92768. After we will calculate the factors of 92748 and 92768 and find the biggest common factor number .

Step-1: Prime Factorization of 92748

Prime factors of 92748 are 2, 3, 59, 131. Prime factorization of 92748 in exponential form is:

92748 = 2² × 3¹ × 59¹ × 131¹

Step-2: Prime Factorization of 92768

Prime factors of 92768 are 2, 13, 223. Prime factorization of 92768 in exponential form is:

92768 = 2⁵ × 13¹ × 223¹

Step-3: Factors of 92748

List of positive integer factors of 92748 that divides 92748 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 131, 177, 236, 262, 354, 393, 524, 708, 786, 1572, 7729, 15458, 23187, 30916, 46374

Step-4: Factors of 92768

List of positive integer factors of 92768 that divides 92748 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 223, 416, 446, 892, 1784, 2899, 3568, 5798, 7136, 11596, 23192, 46384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92748 and 92768. The biggest common factor number is the GCF number.
So the greatest common factor 92748 and 92768 is 4.

Also check out the Least Common Multiple of 92748 and 92768