What is the Greatest Common Factor of 71624 and 71628?

Greatest common factor (GCF) of 71624 and 71628 is 4.

GCF(71624,71628) = 4

We will now calculate the prime factors of 71624 and 71628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71624 and 71628.

How to find the GCF of 71624 and 71628?

We will first find the prime factorization of 71624 and 71628. After we will calculate the factors of 71624 and 71628 and find the biggest common factor number .

Step-1: Prime Factorization of 71624

Prime factors of 71624 are 2, 7, 1279. Prime factorization of 71624 in exponential form is:

71624 = 2³ × 7¹ × 1279¹

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 71624

List of positive integer factors of 71624 that divides 71624 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1279, 2558, 5116, 8953, 10232, 17906, 35812

Step-4: Factors of 71628

List of positive integer factors of 71628 that divides 71624 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 71624 and 71628. The biggest common factor number is the GCF number.
So the greatest common factor 71624 and 71628 is 4.

Also check out the Least Common Multiple of 71624 and 71628