What is the Greatest Common Factor of 67410 and 67425?

Greatest common factor (GCF) of 67410 and 67425 is 15.

GCF(67410,67425) = 15

We will now calculate the prime factors of 67410 and 67425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67410 and 67425.

How to find the GCF of 67410 and 67425?

We will first find the prime factorization of 67410 and 67425. After we will calculate the factors of 67410 and 67425 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 67425

Prime factors of 67425 are 3, 5, 29, 31. Prime factorization of 67425 in exponential form is:

67425 = 3¹ × 5² × 29¹ × 31¹

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 67425

List of positive integer factors of 67425 that divides 67410 without a remainder.

1, 3, 5, 15, 25, 29, 31, 75, 87, 93, 145, 155, 435, 465, 725, 775, 899, 2175, 2325, 2697, 4495, 13485, 22475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67410 and 67425. The biggest common factor number is the GCF number.
So the greatest common factor 67410 and 67425 is 15.

Also check out the Least Common Multiple of 67410 and 67425