What is the Greatest Common Factor of 71616 and 71628?

Greatest common factor (GCF) of 71616 and 71628 is 12.

GCF(71616,71628) = 12

We will now calculate the prime factors of 71616 and 71628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71616 and 71628.

How to find the GCF of 71616 and 71628?

We will first find the prime factorization of 71616 and 71628. After we will calculate the factors of 71616 and 71628 and find the biggest common factor number .

Step-1: Prime Factorization of 71616

Prime factors of 71616 are 2, 3, 373. Prime factorization of 71616 in exponential form is:

71616 = 2⁶ × 3¹ × 373¹

Step-2: Prime Factorization of 71628

Prime factors of 71628 are 2, 3, 47, 127. Prime factorization of 71628 in exponential form is:

71628 = 2² × 3¹ × 47¹ × 127¹

Step-3: Factors of 71616

List of positive integer factors of 71616 that divides 71616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 373, 746, 1119, 1492, 2238, 2984, 4476, 5968, 8952, 11936, 17904, 23872, 35808

Step-4: Factors of 71628

List of positive integer factors of 71628 that divides 71616 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 127, 141, 188, 254, 282, 381, 508, 564, 762, 1524, 5969, 11938, 17907, 23876, 35814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71616 and 71628. The biggest common factor number is the GCF number.
So the greatest common factor 71616 and 71628 is 12.

Also check out the Least Common Multiple of 71616 and 71628