What is the Greatest Common Factor of 93052 and 93072?

Greatest common factor (GCF) of 93052 and 93072 is 4.

GCF(93052,93072) = 4

We will now calculate the prime factors of 93052 and 93072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93052 and 93072.

How to find the GCF of 93052 and 93072?

We will first find the prime factorization of 93052 and 93072. After we will calculate the factors of 93052 and 93072 and find the biggest common factor number .

Step-1: Prime Factorization of 93052

Prime factors of 93052 are 2, 43, 541. Prime factorization of 93052 in exponential form is:

93052 = 2² × 43¹ × 541¹

Step-2: Prime Factorization of 93072

Prime factors of 93072 are 2, 3, 7, 277. Prime factorization of 93072 in exponential form is:

93072 = 2⁴ × 3¹ × 7¹ × 277¹

Step-3: Factors of 93052

List of positive integer factors of 93052 that divides 93052 without a remainder.

1, 2, 4, 43, 86, 172, 541, 1082, 2164, 23263, 46526

Step-4: Factors of 93072

List of positive integer factors of 93072 that divides 93052 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 277, 336, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 4432, 5817, 6648, 7756, 11634, 13296, 15512, 23268, 31024, 46536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93052 and 93072. The biggest common factor number is the GCF number.
So the greatest common factor 93052 and 93072 is 4.

Also check out the Least Common Multiple of 93052 and 93072