What is the Greatest Common Factor of 94032 and 94052?

Greatest common factor (GCF) of 94032 and 94052 is 4.

GCF(94032,94052) = 4

We will now calculate the prime factors of 94032 and 94052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94032 and 94052.

How to find the GCF of 94032 and 94052?

We will first find the prime factorization of 94032 and 94052. After we will calculate the factors of 94032 and 94052 and find the biggest common factor number .

Step-1: Prime Factorization of 94032

Prime factors of 94032 are 2, 3, 653. Prime factorization of 94032 in exponential form is:

94032 = 2⁴ × 3² × 653¹

Step-2: Prime Factorization of 94052

Prime factors of 94052 are 2, 7, 3359. Prime factorization of 94052 in exponential form is:

94052 = 2² × 7¹ × 3359¹

Step-3: Factors of 94032

List of positive integer factors of 94032 that divides 94032 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 653, 1306, 1959, 2612, 3918, 5224, 5877, 7836, 10448, 11754, 15672, 23508, 31344, 47016

Step-4: Factors of 94052

List of positive integer factors of 94052 that divides 94032 without a remainder.

1, 2, 4, 7, 14, 28, 3359, 6718, 13436, 23513, 47026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94032 and 94052. The biggest common factor number is the GCF number.
So the greatest common factor 94032 and 94052 is 4.

Also check out the Least Common Multiple of 94032 and 94052