What is the Greatest Common Factor of 74802 and 74818?

Greatest common factor (GCF) of 74802 and 74818 is 2.

GCF(74802,74818) = 2

We will now calculate the prime factors of 74802 and 74818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74802 and 74818.

How to find the GCF of 74802 and 74818?

We will first find the prime factorization of 74802 and 74818. After we will calculate the factors of 74802 and 74818 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 74818

Prime factors of 74818 are 2, 37409. Prime factorization of 74818 in exponential form is:

74818 = 2¹ × 37409¹

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 74818

List of positive integer factors of 74818 that divides 74802 without a remainder.

1, 2, 37409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74802 and 74818. The biggest common factor number is the GCF number.
So the greatest common factor 74802 and 74818 is 2.

Also check out the Least Common Multiple of 74802 and 74818