What is the Greatest Common Factor of 71772 and 71784?

Greatest common factor (GCF) of 71772 and 71784 is 12.

GCF(71772,71784) = 12

We will now calculate the prime factors of 71772 and 71784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71772 and 71784.

How to find the GCF of 71772 and 71784?

We will first find the prime factorization of 71772 and 71784. After we will calculate the factors of 71772 and 71784 and find the biggest common factor number .

Step-1: Prime Factorization of 71772

Prime factors of 71772 are 2, 3, 5981. Prime factorization of 71772 in exponential form is:

71772 = 2² × 3¹ × 5981¹

Step-2: Prime Factorization of 71784

Prime factors of 71784 are 2, 3, 997. Prime factorization of 71784 in exponential form is:

71784 = 2³ × 3² × 997¹

Step-3: Factors of 71772

List of positive integer factors of 71772 that divides 71772 without a remainder.

1, 2, 3, 4, 6, 12, 5981, 11962, 17943, 23924, 35886

Step-4: Factors of 71784

List of positive integer factors of 71784 that divides 71772 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 997, 1994, 2991, 3988, 5982, 7976, 8973, 11964, 17946, 23928, 35892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71772 and 71784. The biggest common factor number is the GCF number.
So the greatest common factor 71772 and 71784 is 12.

Also check out the Least Common Multiple of 71772 and 71784