What is the Greatest Common Factor of 77430 and 77441?

Greatest common factor (GCF) of 77430 and 77441 is 1.

GCF(77430,77441) = 1

We will now calculate the prime factors of 77430 and 77441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77430 and 77441.

How to find the GCF of 77430 and 77441?

We will first find the prime factorization of 77430 and 77441. After we will calculate the factors of 77430 and 77441 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 77441

Prime factors of 77441 are 7, 13, 23, 37. Prime factorization of 77441 in exponential form is:

77441 = 7¹ × 13¹ × 23¹ × 37¹

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 77441

List of positive integer factors of 77441 that divides 77430 without a remainder.

1, 7, 13, 23, 37, 91, 161, 259, 299, 481, 851, 2093, 3367, 5957, 11063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77430 and 77441. The biggest common factor number is the GCF number.
So the greatest common factor 77430 and 77441 is 1.

Also check out the Least Common Multiple of 77430 and 77441