What is the Greatest Common Factor of 74789 and 74802?

Greatest common factor (GCF) of 74789 and 74802 is 13.

GCF(74789,74802) = 13

We will now calculate the prime factors of 74789 and 74802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74789 and 74802.

How to find the GCF of 74789 and 74802?

We will first find the prime factorization of 74789 and 74802. After we will calculate the factors of 74789 and 74802 and find the biggest common factor number .

Step-1: Prime Factorization of 74789

Prime factors of 74789 are 11, 13, 523. Prime factorization of 74789 in exponential form is:

74789 = 11¹ × 13¹ × 523¹

Step-2: 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-3: Factors of 74789

List of positive integer factors of 74789 that divides 74789 without a remainder.

1, 11, 13, 143, 523, 5753, 6799

Step-4: Factors of 74802

List of positive integer factors of 74802 that divides 74789 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74789 and 74802. The biggest common factor number is the GCF number.
So the greatest common factor 74789 and 74802 is 13.

Also check out the Least Common Multiple of 74789 and 74802