What is the Greatest Common Factor of 71842 and 71852?

Greatest common factor (GCF) of 71842 and 71852 is 2.

GCF(71842,71852) = 2

We will now calculate the prime factors of 71842 and 71852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71842 and 71852.

How to find the GCF of 71842 and 71852?

We will first find the prime factorization of 71842 and 71852. After we will calculate the factors of 71842 and 71852 and find the biggest common factor number .

Step-1: Prime Factorization of 71842

Prime factors of 71842 are 2, 17, 2113. Prime factorization of 71842 in exponential form is:

71842 = 2¹ × 17¹ × 2113¹

Step-2: Prime Factorization of 71852

Prime factors of 71852 are 2, 11, 23, 71. Prime factorization of 71852 in exponential form is:

71852 = 2² × 11¹ × 23¹ × 71¹

Step-3: Factors of 71842

List of positive integer factors of 71842 that divides 71842 without a remainder.

1, 2, 17, 34, 2113, 4226, 35921

Step-4: Factors of 71852

List of positive integer factors of 71852 that divides 71842 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 71, 92, 142, 253, 284, 506, 781, 1012, 1562, 1633, 3124, 3266, 6532, 17963, 35926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71842 and 71852. The biggest common factor number is the GCF number.
So the greatest common factor 71842 and 71852 is 2.

Also check out the Least Common Multiple of 71842 and 71852