What is the Greatest Common Factor of 4494 and 4512?

Greatest common factor (GCF) of 4494 and 4512 is 6.

GCF(4494,4512) = 6

We will now calculate the prime factors of 4494 and 4512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4494 and 4512.

How to find the GCF of 4494 and 4512?

We will first find the prime factorization of 4494 and 4512. After we will calculate the factors of 4494 and 4512 and find the biggest common factor number .

Step-1: Prime Factorization of 4494

Prime factors of 4494 are 2, 3, 7, 107. Prime factorization of 4494 in exponential form is:

4494 = 2¹ × 3¹ × 7¹ × 107¹

Step-2: Prime Factorization of 4512

Prime factors of 4512 are 2, 3, 47. Prime factorization of 4512 in exponential form is:

4512 = 2⁵ × 3¹ × 47¹

Step-3: Factors of 4494

List of positive integer factors of 4494 that divides 4494 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247

Step-4: Factors of 4512

List of positive integer factors of 4512 that divides 4494 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4494 and 4512. The biggest common factor number is the GCF number.
So the greatest common factor 4494 and 4512 is 6.

Also check out the Least Common Multiple of 4494 and 4512