What is the Greatest Common Factor of 71616 and 71626?

Greatest common factor (GCF) of 71616 and 71626 is 2.

GCF(71616,71626) = 2

We will now calculate the prime factors of 71616 and 71626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71616 and 71626.

How to find the GCF of 71616 and 71626?

We will first find the prime factorization of 71616 and 71626. After we will calculate the factors of 71616 and 71626 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 71626

Prime factors of 71626 are 2, 59, 607. Prime factorization of 71626 in exponential form is:

71626 = 2¹ × 59¹ × 607¹

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 71626

List of positive integer factors of 71626 that divides 71616 without a remainder.

1, 2, 59, 118, 607, 1214, 35813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71616 and 71626. The biggest common factor number is the GCF number.
So the greatest common factor 71616 and 71626 is 2.

Also check out the Least Common Multiple of 71616 and 71626