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What is the Greatest Common Factor of 74448 and 74460?

Greatest common factor (GCF) of 74448 and 74460 is 12.

GCF(74448,74460) = 12

We will now calculate the prime factors of 74448 and 74460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74448 and 74460.

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How to find the GCF of 74448 and 74460?

We will first find the prime factorization of 74448 and 74460. After we will calculate the factors of 74448 and 74460 and find the biggest common factor number .

Step-1: Prime Factorization of 74448

Prime factors of 74448 are 2, 3, 11, 47. Prime factorization of 74448 in exponential form is:

74448 = 24 × 32 × 111 × 471

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 74448

List of positive integer factors of 74448 that divides 74448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 47, 48, 66, 72, 88, 94, 99, 132, 141, 144, 176, 188, 198, 264, 282, 376, 396, 423, 517, 528, 564, 752, 792, 846, 1034, 1128, 1551, 1584, 1692, 2068, 2256, 3102, 3384, 4136, 4653, 6204, 6768, 8272, 9306, 12408, 18612, 24816, 37224

Step-4: Factors of 74460

List of positive integer factors of 74460 that divides 74448 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 74448 and 74460. The biggest common factor number is the GCF number.
So the greatest common factor 74448 and 74460 is 12.

Also check out the Least Common Multiple of 74448 and 74460