What is the Greatest Common Factor of 71640 and 71652?

Greatest common factor (GCF) of 71640 and 71652 is 12.

GCF(71640,71652) = 12

We will now calculate the prime factors of 71640 and 71652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71640 and 71652.

How to find the GCF of 71640 and 71652?

We will first find the prime factorization of 71640 and 71652. After we will calculate the factors of 71640 and 71652 and find the biggest common factor number .

Step-1: Prime Factorization of 71640

Prime factors of 71640 are 2, 3, 5, 199. Prime factorization of 71640 in exponential form is:

71640 = 2³ × 3² × 5¹ × 199¹

Step-2: Prime Factorization of 71652

Prime factors of 71652 are 2, 3, 7, 853. Prime factorization of 71652 in exponential form is:

71652 = 2² × 3¹ × 7¹ × 853¹

Step-3: Factors of 71640

List of positive integer factors of 71640 that divides 71640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 199, 360, 398, 597, 796, 995, 1194, 1592, 1791, 1990, 2388, 2985, 3582, 3980, 4776, 5970, 7164, 7960, 8955, 11940, 14328, 17910, 23880, 35820

Step-4: Factors of 71652

List of positive integer factors of 71652 that divides 71640 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 853, 1706, 2559, 3412, 5118, 5971, 10236, 11942, 17913, 23884, 35826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71640 and 71652. The biggest common factor number is the GCF number.
So the greatest common factor 71640 and 71652 is 12.

Also check out the Least Common Multiple of 71640 and 71652