What is the Greatest Common Factor of 92364 and 92380?

Greatest common factor (GCF) of 92364 and 92380 is 4.

GCF(92364,92380) = 4

We will now calculate the prime factors of 92364 and 92380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92364 and 92380.

How to find the GCF of 92364 and 92380?

We will first find the prime factorization of 92364 and 92380. After we will calculate the factors of 92364 and 92380 and find the biggest common factor number .

Step-1: Prime Factorization of 92364

Prime factors of 92364 are 2, 3, 43, 179. Prime factorization of 92364 in exponential form is:

92364 = 2² × 3¹ × 43¹ × 179¹

Step-2: Prime Factorization of 92380

Prime factors of 92380 are 2, 5, 31, 149. Prime factorization of 92380 in exponential form is:

92380 = 2² × 5¹ × 31¹ × 149¹

Step-3: Factors of 92364

List of positive integer factors of 92364 that divides 92364 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 179, 258, 358, 516, 537, 716, 1074, 2148, 7697, 15394, 23091, 30788, 46182

Step-4: Factors of 92380

List of positive integer factors of 92380 that divides 92364 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 149, 155, 298, 310, 596, 620, 745, 1490, 2980, 4619, 9238, 18476, 23095, 46190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92364 and 92380. The biggest common factor number is the GCF number.
So the greatest common factor 92364 and 92380 is 4.

Also check out the Least Common Multiple of 92364 and 92380