What is the Greatest Common Factor of 71724 and 71744?

Greatest common factor (GCF) of 71724 and 71744 is 4.

GCF(71724,71744) = 4

We will now calculate the prime factors of 71724 and 71744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71724 and 71744.

How to find the GCF of 71724 and 71744?

We will first find the prime factorization of 71724 and 71744. After we will calculate the factors of 71724 and 71744 and find the biggest common factor number .

Step-1: Prime Factorization of 71724

Prime factors of 71724 are 2, 3, 43, 139. Prime factorization of 71724 in exponential form is:

71724 = 2² × 3¹ × 43¹ × 139¹

Step-2: 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-3: Factors of 71724

List of positive integer factors of 71724 that divides 71724 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 139, 172, 258, 278, 417, 516, 556, 834, 1668, 5977, 11954, 17931, 23908, 35862

Step-4: Factors of 71744

List of positive integer factors of 71744 that divides 71724 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71724 and 71744. The biggest common factor number is the GCF number.
So the greatest common factor 71724 and 71744 is 4.

Also check out the Least Common Multiple of 71724 and 71744