What is the Greatest Common Factor of 77430 and 77445?

Greatest common factor (GCF) of 77430 and 77445 is 15.

GCF(77430,77445) = 15

We will now calculate the prime factors of 77430 and 77445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77430 and 77445.

How to find the GCF of 77430 and 77445?

We will first find the prime factorization of 77430 and 77445. After we will calculate the factors of 77430 and 77445 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 77445

Prime factors of 77445 are 3, 5, 1721. Prime factorization of 77445 in exponential form is:

77445 = 3² × 5¹ × 1721¹

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 77445

List of positive integer factors of 77445 that divides 77430 without a remainder.

1, 3, 5, 9, 15, 45, 1721, 5163, 8605, 15489, 25815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77430 and 77445. The biggest common factor number is the GCF number.
So the greatest common factor 77430 and 77445 is 15.

Also check out the Least Common Multiple of 77430 and 77445