What is the Greatest Common Factor of 19425 and 19435?

Greatest common factor (GCF) of 19425 and 19435 is 5.

GCF(19425,19435) = 5

We will now calculate the prime factors of 19425 and 19435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19425 and 19435.

How to find the GCF of 19425 and 19435?

We will first find the prime factorization of 19425 and 19435. After we will calculate the factors of 19425 and 19435 and find the biggest common factor number .

Step-1: Prime Factorization of 19425

Prime factors of 19425 are 3, 5, 7, 37. Prime factorization of 19425 in exponential form is:

19425 = 3¹ × 5² × 7¹ × 37¹

Step-2: Prime Factorization of 19435

Prime factors of 19435 are 5, 13, 23. Prime factorization of 19435 in exponential form is:

19435 = 5¹ × 13² × 23¹

Step-3: Factors of 19425

List of positive integer factors of 19425 that divides 19425 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 37, 75, 105, 111, 175, 185, 259, 525, 555, 777, 925, 1295, 2775, 3885, 6475

Step-4: Factors of 19435

List of positive integer factors of 19435 that divides 19425 without a remainder.

1, 5, 13, 23, 65, 115, 169, 299, 845, 1495, 3887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19425 and 19435. The biggest common factor number is the GCF number.
So the greatest common factor 19425 and 19435 is 5.

Also check out the Least Common Multiple of 19425 and 19435