What is the Greatest Common Factor of 74844 and 74863?

Greatest common factor (GCF) of 74844 and 74863 is 1.

GCF(74844,74863) = 1

We will now calculate the prime factors of 74844 and 74863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74844 and 74863.

How to find the GCF of 74844 and 74863?

We will first find the prime factorization of 74844 and 74863. After we will calculate the factors of 74844 and 74863 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 74863

Prime factors of 74863 are 43, 1741. Prime factorization of 74863 in exponential form is:

74863 = 43¹ × 1741¹

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 74863

List of positive integer factors of 74863 that divides 74844 without a remainder.

1, 43, 1741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74844 and 74863. The biggest common factor number is the GCF number.
So the greatest common factor 74844 and 74863 is 1.

Also check out the Least Common Multiple of 74844 and 74863