What is the Greatest Common Factor of 30476 and 30495?

Greatest common factor (GCF) of 30476 and 30495 is 19.

GCF(30476,30495) = 19

We will now calculate the prime factors of 30476 and 30495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30476 and 30495.

How to find the GCF of 30476 and 30495?

We will first find the prime factorization of 30476 and 30495. After we will calculate the factors of 30476 and 30495 and find the biggest common factor number .

Step-1: Prime Factorization of 30476

Prime factors of 30476 are 2, 19, 401. Prime factorization of 30476 in exponential form is:

30476 = 2² × 19¹ × 401¹

Step-2: Prime Factorization of 30495

Prime factors of 30495 are 3, 5, 19, 107. Prime factorization of 30495 in exponential form is:

30495 = 3¹ × 5¹ × 19¹ × 107¹

Step-3: Factors of 30476

List of positive integer factors of 30476 that divides 30476 without a remainder.

1, 2, 4, 19, 38, 76, 401, 802, 1604, 7619, 15238

Step-4: Factors of 30495

List of positive integer factors of 30495 that divides 30476 without a remainder.

1, 3, 5, 15, 19, 57, 95, 107, 285, 321, 535, 1605, 2033, 6099, 10165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30476 and 30495. The biggest common factor number is the GCF number.
So the greatest common factor 30476 and 30495 is 19.

Also check out the Least Common Multiple of 30476 and 30495