What is the Greatest Common Factor of 71744 and 71754?

Greatest common factor (GCF) of 71744 and 71754 is 2.

GCF(71744,71754) = 2

We will now calculate the prime factors of 71744 and 71754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71744 and 71754.

How to find the GCF of 71744 and 71754?

We will first find the prime factorization of 71744 and 71754. After we will calculate the factors of 71744 and 71754 and find the biggest common factor number .

Step-1: Prime Factorization of 71744

Prime factors of 71744 are 2, 19, 59. Prime factorization of 71744 in exponential form is:

71744 = 2⁶ × 19¹ × 59¹

Step-2: Prime Factorization of 71754

Prime factors of 71754 are 2, 3, 11959. Prime factorization of 71754 in exponential form is:

71754 = 2¹ × 3¹ × 11959¹

Step-3: Factors of 71744

List of positive integer factors of 71744 that divides 71744 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 59, 64, 76, 118, 152, 236, 304, 472, 608, 944, 1121, 1216, 1888, 2242, 3776, 4484, 8968, 17936, 35872

Step-4: Factors of 71754

List of positive integer factors of 71754 that divides 71744 without a remainder.

1, 2, 3, 6, 11959, 23918, 35877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71744 and 71754. The biggest common factor number is the GCF number.
So the greatest common factor 71744 and 71754 is 2.

Also check out the Least Common Multiple of 71744 and 71754