What is the Greatest Common Factor of 74844 and 74864?

Greatest common factor (GCF) of 74844 and 74864 is 4.

GCF(74844,74864) = 4

We will now calculate the prime factors of 74844 and 74864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74844 and 74864.

How to find the GCF of 74844 and 74864?

We will first find the prime factorization of 74844 and 74864. After we will calculate the factors of 74844 and 74864 and find the biggest common factor number .

Step-1: Prime Factorization of 74844

Prime factors of 74844 are 2, 3, 7, 11. Prime factorization of 74844 in exponential form is:

74844 = 2² × 3⁵ × 7¹ × 11¹

Step-2: Prime Factorization of 74864

Prime factors of 74864 are 2, 4679. Prime factorization of 74864 in exponential form is:

74864 = 2⁴ × 4679¹

Step-3: Factors of 74844

List of positive integer factors of 74844 that divides 74844 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 81, 84, 99, 108, 126, 132, 154, 162, 189, 198, 231, 243, 252, 297, 308, 324, 378, 396, 462, 486, 567, 594, 693, 756, 891, 924, 972, 1134, 1188, 1386, 1701, 1782, 2079, 2268, 2673, 2772, 3402, 3564, 4158, 5346, 6237, 6804, 8316, 10692, 12474, 18711, 24948, 37422

Step-4: Factors of 74864

List of positive integer factors of 74864 that divides 74844 without a remainder.

1, 2, 4, 8, 16, 4679, 9358, 18716, 37432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74844 and 74864. The biggest common factor number is the GCF number.
So the greatest common factor 74844 and 74864 is 4.

Also check out the Least Common Multiple of 74844 and 74864