What is the Greatest Common Factor of 67410 and 67419?

Greatest common factor (GCF) of 67410 and 67419 is 9.

GCF(67410,67419) = 9

We will now calculate the prime factors of 67410 and 67419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67410 and 67419.

How to find the GCF of 67410 and 67419?

We will first find the prime factorization of 67410 and 67419. After we will calculate the factors of 67410 and 67419 and find the biggest common factor number .

Step-1: Prime Factorization of 67410

Prime factors of 67410 are 2, 3, 5, 7, 107. Prime factorization of 67410 in exponential form is:

67410 = 2¹ × 3² × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 67419

Prime factors of 67419 are 3, 11, 227. Prime factorization of 67419 in exponential form is:

67419 = 3³ × 11¹ × 227¹

Step-3: Factors of 67410

List of positive integer factors of 67410 that divides 67410 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 107, 126, 210, 214, 315, 321, 535, 630, 642, 749, 963, 1070, 1498, 1605, 1926, 2247, 3210, 3745, 4494, 4815, 6741, 7490, 9630, 11235, 13482, 22470, 33705

Step-4: Factors of 67419

List of positive integer factors of 67419 that divides 67410 without a remainder.

1, 3, 9, 11, 27, 33, 99, 227, 297, 681, 2043, 2497, 6129, 7491, 22473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67410 and 67419. The biggest common factor number is the GCF number.
So the greatest common factor 67410 and 67419 is 9.

Also check out the Least Common Multiple of 67410 and 67419