What is the Greatest Common Factor of 74451 and 74460?

Greatest common factor (GCF) of 74451 and 74460 is 3.

GCF(74451,74460) = 3

We will now calculate the prime factors of 74451 and 74460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74451 and 74460.

How to find the GCF of 74451 and 74460?

We will first find the prime factorization of 74451 and 74460. After we will calculate the factors of 74451 and 74460 and find the biggest common factor number .

Step-1: Prime Factorization of 74451

Prime factors of 74451 are 3, 13, 23, 83. Prime factorization of 74451 in exponential form is:

74451 = 3¹ × 13¹ × 23¹ × 83¹

Step-2: 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-3: Factors of 74451

List of positive integer factors of 74451 that divides 74451 without a remainder.

1, 3, 13, 23, 39, 69, 83, 249, 299, 897, 1079, 1909, 3237, 5727, 24817

Step-4: Factors of 74460

List of positive integer factors of 74460 that divides 74451 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74451 and 74460. The biggest common factor number is the GCF number.
So the greatest common factor 74451 and 74460 is 3.

Also check out the Least Common Multiple of 74451 and 74460