What is the Greatest Common Factor of 67400 and 67410?

Greatest common factor (GCF) of 67400 and 67410 is 10.

GCF(67400,67410) = 10

We will now calculate the prime factors of 67400 and 67410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67400 and 67410.

How to find the GCF of 67400 and 67410?

We will first find the prime factorization of 67400 and 67410. After we will calculate the factors of 67400 and 67410 and find the biggest common factor number .

Step-1: Prime Factorization of 67400

Prime factors of 67400 are 2, 5, 337. Prime factorization of 67400 in exponential form is:

67400 = 2³ × 5² × 337¹

Step-2: 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-3: Factors of 67400

List of positive integer factors of 67400 that divides 67400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 337, 674, 1348, 1685, 2696, 3370, 6740, 8425, 13480, 16850, 33700

Step-4: Factors of 67410

List of positive integer factors of 67410 that divides 67400 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67400 and 67410. The biggest common factor number is the GCF number.
So the greatest common factor 67400 and 67410 is 10.

Also check out the Least Common Multiple of 67400 and 67410