What is the Greatest Common Factor of 74272 and 74281?

Greatest common factor (GCF) of 74272 and 74281 is 1.

GCF(74272,74281) = 1

We will now calculate the prime factors of 74272 and 74281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74272 and 74281.

How to find the GCF of 74272 and 74281?

We will first find the prime factorization of 74272 and 74281. After we will calculate the factors of 74272 and 74281 and find the biggest common factor number .

Step-1: Prime Factorization of 74272

Prime factors of 74272 are 2, 11, 211. Prime factorization of 74272 in exponential form is:

74272 = 2⁵ × 11¹ × 211¹

Step-2: Prime Factorization of 74281

Prime factors of 74281 are 59, 1259. Prime factorization of 74281 in exponential form is:

74281 = 59¹ × 1259¹

Step-3: Factors of 74272

List of positive integer factors of 74272 that divides 74272 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 211, 352, 422, 844, 1688, 2321, 3376, 4642, 6752, 9284, 18568, 37136

Step-4: Factors of 74281

List of positive integer factors of 74281 that divides 74272 without a remainder.

1, 59, 1259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74272 and 74281. The biggest common factor number is the GCF number.
So the greatest common factor 74272 and 74281 is 1.

Also check out the Least Common Multiple of 74272 and 74281