What is the Greatest Common Factor of 74226 and 74240?

Greatest common factor (GCF) of 74226 and 74240 is 2.

GCF(74226,74240) = 2

We will now calculate the prime factors of 74226 and 74240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74226 and 74240.

How to find the GCF of 74226 and 74240?

We will first find the prime factorization of 74226 and 74240. After we will calculate the factors of 74226 and 74240 and find the biggest common factor number .

Step-1: Prime Factorization of 74226

Prime factors of 74226 are 2, 3, 89, 139. Prime factorization of 74226 in exponential form is:

74226 = 2¹ × 3¹ × 89¹ × 139¹

Step-2: Prime Factorization of 74240

Prime factors of 74240 are 2, 5, 29. Prime factorization of 74240 in exponential form is:

74240 = 2⁹ × 5¹ × 29¹

Step-3: Factors of 74226

List of positive integer factors of 74226 that divides 74226 without a remainder.

1, 2, 3, 6, 89, 139, 178, 267, 278, 417, 534, 834, 12371, 24742, 37113

Step-4: Factors of 74240

List of positive integer factors of 74240 that divides 74226 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128, 145, 160, 232, 256, 290, 320, 464, 512, 580, 640, 928, 1160, 1280, 1856, 2320, 2560, 3712, 4640, 7424, 9280, 14848, 18560, 37120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74226 and 74240. The biggest common factor number is the GCF number.
So the greatest common factor 74226 and 74240 is 2.

Also check out the Least Common Multiple of 74226 and 74240