What is the Greatest Common Factor of 74830 and 74844?

Greatest common factor (GCF) of 74830 and 74844 is 14.

GCF(74830,74844) = 14

We will now calculate the prime factors of 74830 and 74844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74830 and 74844.

How to find the GCF of 74830 and 74844?

We will first find the prime factorization of 74830 and 74844. After we will calculate the factors of 74830 and 74844 and find the biggest common factor number .

Step-1: Prime Factorization of 74830

Prime factors of 74830 are 2, 5, 7, 1069. Prime factorization of 74830 in exponential form is:

74830 = 2¹ × 5¹ × 7¹ × 1069¹

Step-2: 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-3: Factors of 74830

List of positive integer factors of 74830 that divides 74830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1069, 2138, 5345, 7483, 10690, 14966, 37415

Step-4: Factors of 74844

List of positive integer factors of 74844 that divides 74830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74830 and 74844. The biggest common factor number is the GCF number.
So the greatest common factor 74830 and 74844 is 14.

Also check out the Least Common Multiple of 74830 and 74844