What is the Greatest Common Factor of 74254 and 74272?

Greatest common factor (GCF) of 74254 and 74272 is 2.

GCF(74254,74272) = 2

We will now calculate the prime factors of 74254 and 74272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74254 and 74272.

How to find the GCF of 74254 and 74272?

We will first find the prime factorization of 74254 and 74272. After we will calculate the factors of 74254 and 74272 and find the biggest common factor number .

Step-1: Prime Factorization of 74254

Prime factors of 74254 are 2, 137, 271. Prime factorization of 74254 in exponential form is:

74254 = 2¹ × 137¹ × 271¹

Step-2: 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-3: Factors of 74254

List of positive integer factors of 74254 that divides 74254 without a remainder.

1, 2, 137, 271, 274, 542, 37127

Step-4: Factors of 74272

List of positive integer factors of 74272 that divides 74254 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74254 and 74272. The biggest common factor number is the GCF number.
So the greatest common factor 74254 and 74272 is 2.

Also check out the Least Common Multiple of 74254 and 74272