What is the Greatest Common Factor of 77424 and 77430?

Greatest common factor (GCF) of 77424 and 77430 is 6.

GCF(77424,77430) = 6

We will now calculate the prime factors of 77424 and 77430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77424 and 77430.

How to find the GCF of 77424 and 77430?

We will first find the prime factorization of 77424 and 77430. After we will calculate the factors of 77424 and 77430 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77430

Prime factors of 77430 are 2, 3, 5, 29, 89. Prime factorization of 77430 in exponential form is:

77430 = 2¹ × 3¹ × 5¹ × 29¹ × 89¹

Step-3: Factors of 77424

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

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

Step-4: Factors of 77430

List of positive integer factors of 77430 that divides 77424 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 89, 145, 174, 178, 267, 290, 435, 445, 534, 870, 890, 1335, 2581, 2670, 5162, 7743, 12905, 15486, 25810, 38715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77424 and 77430. The biggest common factor number is the GCF number.
So the greatest common factor 77424 and 77430 is 6.

Also check out the Least Common Multiple of 77424 and 77430