What is the Greatest Common Factor of 92064 and 92072?

Greatest common factor (GCF) of 92064 and 92072 is 8.

GCF(92064,92072) = 8

We will now calculate the prime factors of 92064 and 92072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92064 and 92072.

How to find the GCF of 92064 and 92072?

We will first find the prime factorization of 92064 and 92072. After we will calculate the factors of 92064 and 92072 and find the biggest common factor number .

Step-1: Prime Factorization of 92064

Prime factors of 92064 are 2, 3, 7, 137. Prime factorization of 92064 in exponential form is:

92064 = 2⁵ × 3¹ × 7¹ × 137¹

Step-2: 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-3: Factors of 92064

List of positive integer factors of 92064 that divides 92064 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 137, 168, 224, 274, 336, 411, 548, 672, 822, 959, 1096, 1644, 1918, 2192, 2877, 3288, 3836, 4384, 5754, 6576, 7672, 11508, 13152, 15344, 23016, 30688, 46032

Step-4: Factors of 92072

List of positive integer factors of 92072 that divides 92064 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92064 and 92072. The biggest common factor number is the GCF number.
So the greatest common factor 92064 and 92072 is 8.

Also check out the Least Common Multiple of 92064 and 92072