What is the Greatest Common Factor of 77430 and 77436?

Greatest common factor (GCF) of 77430 and 77436 is 6.

GCF(77430,77436) = 6

We will now calculate the prime factors of 77430 and 77436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77430 and 77436.

How to find the GCF of 77430 and 77436?

We will first find the prime factorization of 77430 and 77436. After we will calculate the factors of 77430 and 77436 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77436

Prime factors of 77436 are 2, 3, 239. Prime factorization of 77436 in exponential form is:

77436 = 2² × 3⁴ × 239¹

Step-3: Factors of 77430

List of positive integer factors of 77430 that divides 77430 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

Step-4: Factors of 77436

List of positive integer factors of 77436 that divides 77430 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 239, 324, 478, 717, 956, 1434, 2151, 2868, 4302, 6453, 8604, 12906, 19359, 25812, 38718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77430 and 77436. The biggest common factor number is the GCF number.
So the greatest common factor 77430 and 77436 is 6.

Also check out the Least Common Multiple of 77430 and 77436