What is the Greatest Common Factor of 92064 and 92078?

Greatest common factor (GCF) of 92064 and 92078 is 14.

GCF(92064,92078) = 14

We will now calculate the prime factors of 92064 and 92078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92064 and 92078.

How to find the GCF of 92064 and 92078?

We will first find the prime factorization of 92064 and 92078. After we will calculate the factors of 92064 and 92078 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 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 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 92078

List of positive integer factors of 92078 that divides 92064 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92064 and 92078. The biggest common factor number is the GCF number.
So the greatest common factor 92064 and 92078 is 14.

Also check out the Least Common Multiple of 92064 and 92078