What is the Greatest Common Factor of 71616 and 71633?

Greatest common factor (GCF) of 71616 and 71633 is 1.

GCF(71616,71633) = 1

We will now calculate the prime factors of 71616 and 71633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71616 and 71633.

How to find the GCF of 71616 and 71633?

We will first find the prime factorization of 71616 and 71633. After we will calculate the factors of 71616 and 71633 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 71633

Prime factors of 71633 are 71633. Prime factorization of 71633 in exponential form is:

71633 = 71633¹

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 71633

List of positive integer factors of 71633 that divides 71616 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71616 and 71633. The biggest common factor number is the GCF number.
So the greatest common factor 71616 and 71633 is 1.

Also check out the Least Common Multiple of 71616 and 71633