What is the Greatest Common Factor of 74802 and 74814?

Greatest common factor (GCF) of 74802 and 74814 is 6.

GCF(74802,74814) = 6

We will now calculate the prime factors of 74802 and 74814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74802 and 74814.

How to find the GCF of 74802 and 74814?

We will first find the prime factorization of 74802 and 74814. After we will calculate the factors of 74802 and 74814 and find the biggest common factor number .

Step-1: Prime Factorization of 74802

Prime factors of 74802 are 2, 3, 7, 13, 137. Prime factorization of 74802 in exponential form is:

74802 = 2¹ × 3¹ × 7¹ × 13¹ × 137¹

Step-2: Prime Factorization of 74814

Prime factors of 74814 are 2, 3, 37, 337. Prime factorization of 74814 in exponential form is:

74814 = 2¹ × 3¹ × 37¹ × 337¹

Step-3: Factors of 74802

List of positive integer factors of 74802 that divides 74802 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 137, 182, 273, 274, 411, 546, 822, 959, 1781, 1918, 2877, 3562, 5343, 5754, 10686, 12467, 24934, 37401

Step-4: Factors of 74814

List of positive integer factors of 74814 that divides 74802 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 337, 674, 1011, 2022, 12469, 24938, 37407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74802 and 74814. The biggest common factor number is the GCF number.
So the greatest common factor 74802 and 74814 is 6.

Also check out the Least Common Multiple of 74802 and 74814