What is the Greatest Common Factor of 65842 and 65860?

Greatest common factor (GCF) of 65842 and 65860 is 2.

GCF(65842,65860) = 2

We will now calculate the prime factors of 65842 and 65860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65842 and 65860.

How to find the GCF of 65842 and 65860?

We will first find the prime factorization of 65842 and 65860. After we will calculate the factors of 65842 and 65860 and find the biggest common factor number .

Step-1: Prime Factorization of 65842

Prime factors of 65842 are 2, 7, 4703. Prime factorization of 65842 in exponential form is:

65842 = 2¹ × 7¹ × 4703¹

Step-2: Prime Factorization of 65860

Prime factors of 65860 are 2, 5, 37, 89. Prime factorization of 65860 in exponential form is:

65860 = 2² × 5¹ × 37¹ × 89¹

Step-3: Factors of 65842

List of positive integer factors of 65842 that divides 65842 without a remainder.

1, 2, 7, 14, 4703, 9406, 32921

Step-4: Factors of 65860

List of positive integer factors of 65860 that divides 65842 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 89, 148, 178, 185, 356, 370, 445, 740, 890, 1780, 3293, 6586, 13172, 16465, 32930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65842 and 65860. The biggest common factor number is the GCF number.
So the greatest common factor 65842 and 65860 is 2.

Also check out the Least Common Multiple of 65842 and 65860