What is the Greatest Common Factor of 94048 and 94068?

Greatest common factor (GCF) of 94048 and 94068 is 4.

GCF(94048,94068) = 4

We will now calculate the prime factors of 94048 and 94068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94048 and 94068.

How to find the GCF of 94048 and 94068?

We will first find the prime factorization of 94048 and 94068. After we will calculate the factors of 94048 and 94068 and find the biggest common factor number .

Step-1: Prime Factorization of 94048

Prime factors of 94048 are 2, 2939. Prime factorization of 94048 in exponential form is:

94048 = 2⁵ × 2939¹

Step-2: Prime Factorization of 94068

Prime factors of 94068 are 2, 3, 13, 67. Prime factorization of 94068 in exponential form is:

94068 = 2² × 3³ × 13¹ × 67¹

Step-3: Factors of 94048

List of positive integer factors of 94048 that divides 94048 without a remainder.

1, 2, 4, 8, 16, 32, 2939, 5878, 11756, 23512, 47024

Step-4: Factors of 94068

List of positive integer factors of 94068 that divides 94048 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 67, 78, 108, 117, 134, 156, 201, 234, 268, 351, 402, 468, 603, 702, 804, 871, 1206, 1404, 1742, 1809, 2412, 2613, 3484, 3618, 5226, 7236, 7839, 10452, 15678, 23517, 31356, 47034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94048 and 94068. The biggest common factor number is the GCF number.
So the greatest common factor 94048 and 94068 is 4.

Also check out the Least Common Multiple of 94048 and 94068