What is the Greatest Common Factor of 92072 and 92078?

Greatest common factor (GCF) of 92072 and 92078 is 2.

GCF(92072,92078) = 2

We will now calculate the prime factors of 92072 and 92078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92072 and 92078.

How to find the GCF of 92072 and 92078?

We will first find the prime factorization of 92072 and 92078. After we will calculate the factors of 92072 and 92078 and find the biggest common factor number .

Step-1: Prime Factorization of 92072

Prime factors of 92072 are 2, 17, 677. Prime factorization of 92072 in exponential form is:

92072 = 2³ × 17¹ × 677¹

Step-2: Prime Factorization of 92078

Prime factors of 92078 are 2, 7, 6577. Prime factorization of 92078 in exponential form is:

92078 = 2¹ × 7¹ × 6577¹

Step-3: Factors of 92072

List of positive integer factors of 92072 that divides 92072 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 677, 1354, 2708, 5416, 11509, 23018, 46036

Step-4: Factors of 92078

List of positive integer factors of 92078 that divides 92072 without a remainder.

1, 2, 7, 14, 6577, 13154, 46039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92072 and 92078. The biggest common factor number is the GCF number.
So the greatest common factor 92072 and 92078 is 2.

Also check out the Least Common Multiple of 92072 and 92078