What is the Greatest Common Factor of 77409 and 77424?

Greatest common factor (GCF) of 77409 and 77424 is 3.

GCF(77409,77424) = 3

We will now calculate the prime factors of 77409 and 77424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77409 and 77424.

How to find the GCF of 77409 and 77424?

We will first find the prime factorization of 77409 and 77424. After we will calculate the factors of 77409 and 77424 and find the biggest common factor number .

Step-1: Prime Factorization of 77409

Prime factors of 77409 are 3, 47, 61. Prime factorization of 77409 in exponential form is:

77409 = 3³ × 47¹ × 61¹

Step-2: Prime Factorization of 77424

Prime factors of 77424 are 2, 3, 1613. Prime factorization of 77424 in exponential form is:

77424 = 2⁴ × 3¹ × 1613¹

Step-3: Factors of 77409

List of positive integer factors of 77409 that divides 77409 without a remainder.

1, 3, 9, 27, 47, 61, 141, 183, 423, 549, 1269, 1647, 2867, 8601, 25803

Step-4: Factors of 77424

List of positive integer factors of 77424 that divides 77409 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1613, 3226, 4839, 6452, 9678, 12904, 19356, 25808, 38712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77409 and 77424. The biggest common factor number is the GCF number.
So the greatest common factor 77409 and 77424 is 3.

Also check out the Least Common Multiple of 77409 and 77424