What is the Greatest Common Factor of 71774 and 71792?

Greatest common factor (GCF) of 71774 and 71792 is 2.

GCF(71774,71792) = 2

We will now calculate the prime factors of 71774 and 71792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71774 and 71792.

How to find the GCF of 71774 and 71792?

We will first find the prime factorization of 71774 and 71792. After we will calculate the factors of 71774 and 71792 and find the biggest common factor number .

Step-1: Prime Factorization of 71774

Prime factors of 71774 are 2, 17, 2111. Prime factorization of 71774 in exponential form is:

71774 = 2¹ × 17¹ × 2111¹

Step-2: Prime Factorization of 71792

Prime factors of 71792 are 2, 7, 641. Prime factorization of 71792 in exponential form is:

71792 = 2⁴ × 7¹ × 641¹

Step-3: Factors of 71774

List of positive integer factors of 71774 that divides 71774 without a remainder.

1, 2, 17, 34, 2111, 4222, 35887

Step-4: Factors of 71792

List of positive integer factors of 71792 that divides 71774 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 641, 1282, 2564, 4487, 5128, 8974, 10256, 17948, 35896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71774 and 71792. The biggest common factor number is the GCF number.
So the greatest common factor 71774 and 71792 is 2.

Also check out the Least Common Multiple of 71774 and 71792