What is the Greatest Common Factor of 74460 and 74476?

Greatest common factor (GCF) of 74460 and 74476 is 4.

GCF(74460,74476) = 4

We will now calculate the prime factors of 74460 and 74476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74460 and 74476.

How to find the GCF of 74460 and 74476?

We will first find the prime factorization of 74460 and 74476. After we will calculate the factors of 74460 and 74476 and find the biggest common factor number .

Step-1: Prime Factorization of 74460

Prime factors of 74460 are 2, 3, 5, 17, 73. Prime factorization of 74460 in exponential form is:

74460 = 2² × 3¹ × 5¹ × 17¹ × 73¹

Step-2: Prime Factorization of 74476

Prime factors of 74476 are 2, 43, 433. Prime factorization of 74476 in exponential form is:

74476 = 2² × 43¹ × 433¹

Step-3: Factors of 74460

List of positive integer factors of 74460 that divides 74460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 73, 85, 102, 146, 170, 204, 219, 255, 292, 340, 365, 438, 510, 730, 876, 1020, 1095, 1241, 1460, 2190, 2482, 3723, 4380, 4964, 6205, 7446, 12410, 14892, 18615, 24820, 37230

Step-4: Factors of 74476

List of positive integer factors of 74476 that divides 74460 without a remainder.

1, 2, 4, 43, 86, 172, 433, 866, 1732, 18619, 37238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74460 and 74476. The biggest common factor number is the GCF number.
So the greatest common factor 74460 and 74476 is 4.

Also check out the Least Common Multiple of 74460 and 74476