What is the Greatest Common Factor of 30495 and 30514?

Greatest common factor (GCF) of 30495 and 30514 is 19.

GCF(30495,30514) = 19

We will now calculate the prime factors of 30495 and 30514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30495 and 30514.

How to find the GCF of 30495 and 30514?

We will first find the prime factorization of 30495 and 30514. After we will calculate the factors of 30495 and 30514 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30514

Prime factors of 30514 are 2, 11, 19, 73. Prime factorization of 30514 in exponential form is:

30514 = 2¹ × 11¹ × 19¹ × 73¹

Step-3: Factors of 30495

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

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

Step-4: Factors of 30514

List of positive integer factors of 30514 that divides 30495 without a remainder.

1, 2, 11, 19, 22, 38, 73, 146, 209, 418, 803, 1387, 1606, 2774, 15257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30495 and 30514. The biggest common factor number is the GCF number.
So the greatest common factor 30495 and 30514 is 19.

Also check out the Least Common Multiple of 30495 and 30514