What is the Greatest Common Factor of 71616 and 71620?

Greatest common factor (GCF) of 71616 and 71620 is 4.

GCF(71616,71620) = 4

We will now calculate the prime factors of 71616 and 71620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71616 and 71620.

How to find the GCF of 71616 and 71620?

We will first find the prime factorization of 71616 and 71620. After we will calculate the factors of 71616 and 71620 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 71620

Prime factors of 71620 are 2, 5, 3581. Prime factorization of 71620 in exponential form is:

71620 = 2² × 5¹ × 3581¹

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 71620

List of positive integer factors of 71620 that divides 71616 without a remainder.

1, 2, 4, 5, 10, 20, 3581, 7162, 14324, 17905, 35810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71616 and 71620. The biggest common factor number is the GCF number.
So the greatest common factor 71616 and 71620 is 4.

Also check out the Least Common Multiple of 71616 and 71620