What is the Greatest Common Factor of 67440 and 67450?

Greatest common factor (GCF) of 67440 and 67450 is 10.

GCF(67440,67450) = 10

We will now calculate the prime factors of 67440 and 67450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67440 and 67450.

How to find the GCF of 67440 and 67450?

We will first find the prime factorization of 67440 and 67450. After we will calculate the factors of 67440 and 67450 and find the biggest common factor number .

Step-1: Prime Factorization of 67440

Prime factors of 67440 are 2, 3, 5, 281. Prime factorization of 67440 in exponential form is:

67440 = 2⁴ × 3¹ × 5¹ × 281¹

Step-2: Prime Factorization of 67450

Prime factors of 67450 are 2, 5, 19, 71. Prime factorization of 67450 in exponential form is:

67450 = 2¹ × 5² × 19¹ × 71¹

Step-3: Factors of 67440

List of positive integer factors of 67440 that divides 67440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 281, 562, 843, 1124, 1405, 1686, 2248, 2810, 3372, 4215, 4496, 5620, 6744, 8430, 11240, 13488, 16860, 22480, 33720

Step-4: Factors of 67450

List of positive integer factors of 67450 that divides 67440 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 71, 95, 142, 190, 355, 475, 710, 950, 1349, 1775, 2698, 3550, 6745, 13490, 33725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67440 and 67450. The biggest common factor number is the GCF number.
So the greatest common factor 67440 and 67450 is 10.

Also check out the Least Common Multiple of 67440 and 67450