What is the Greatest Common Factor of 92048 and 92064?

Greatest common factor (GCF) of 92048 and 92064 is 16.

GCF(92048,92064) = 16

We will now calculate the prime factors of 92048 and 92064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92048 and 92064.

How to find the GCF of 92048 and 92064?

We will first find the prime factorization of 92048 and 92064. After we will calculate the factors of 92048 and 92064 and find the biggest common factor number .

Step-1: Prime Factorization of 92048

Prime factors of 92048 are 2, 11, 523. Prime factorization of 92048 in exponential form is:

92048 = 2⁴ × 11¹ × 523¹

Step-2: 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-3: Factors of 92048

List of positive integer factors of 92048 that divides 92048 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 523, 1046, 2092, 4184, 5753, 8368, 11506, 23012, 46024

Step-4: Factors of 92064

List of positive integer factors of 92064 that divides 92048 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92048 and 92064. The biggest common factor number is the GCF number.
So the greatest common factor 92048 and 92064 is 16.

Also check out the Least Common Multiple of 92048 and 92064