What is the Greatest Common Factor of 74272 and 74285?

Greatest common factor (GCF) of 74272 and 74285 is 1.

GCF(74272,74285) = 1

We will now calculate the prime factors of 74272 and 74285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74272 and 74285.

How to find the GCF of 74272 and 74285?

We will first find the prime factorization of 74272 and 74285. After we will calculate the factors of 74272 and 74285 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 74285

Prime factors of 74285 are 5, 83, 179. Prime factorization of 74285 in exponential form is:

74285 = 5¹ × 83¹ × 179¹

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 74285

List of positive integer factors of 74285 that divides 74272 without a remainder.

1, 5, 83, 179, 415, 895, 14857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74272 and 74285. The biggest common factor number is the GCF number.
So the greatest common factor 74272 and 74285 is 1.

Also check out the Least Common Multiple of 74272 and 74285