What is the Greatest Common Factor of 74844 and 74849?

Greatest common factor (GCF) of 74844 and 74849 is 1.

GCF(74844,74849) = 1

We will now calculate the prime factors of 74844 and 74849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74844 and 74849.

How to find the GCF of 74844 and 74849?

We will first find the prime factorization of 74844 and 74849. After we will calculate the factors of 74844 and 74849 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 74849

Prime factors of 74849 are 29, 89. Prime factorization of 74849 in exponential form is:

74849 = 29² × 89¹

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 74849

List of positive integer factors of 74849 that divides 74844 without a remainder.

1, 29, 89, 841, 2581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74844 and 74849. The biggest common factor number is the GCF number.
So the greatest common factor 74844 and 74849 is 1.

Also check out the Least Common Multiple of 74844 and 74849