What is the Greatest Common Factor of 63842 and 63860?

Greatest common factor (GCF) of 63842 and 63860 is 2.

GCF(63842,63860) = 2

We will now calculate the prime factors of 63842 and 63860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63842 and 63860.

How to find the GCF of 63842 and 63860?

We will first find the prime factorization of 63842 and 63860. After we will calculate the factors of 63842 and 63860 and find the biggest common factor number .

Step-1: Prime Factorization of 63842

Prime factors of 63842 are 2, 137, 233. Prime factorization of 63842 in exponential form is:

63842 = 2¹ × 137¹ × 233¹

Step-2: Prime Factorization of 63860

Prime factors of 63860 are 2, 5, 31, 103. Prime factorization of 63860 in exponential form is:

63860 = 2² × 5¹ × 31¹ × 103¹

Step-3: Factors of 63842

List of positive integer factors of 63842 that divides 63842 without a remainder.

1, 2, 137, 233, 274, 466, 31921

Step-4: Factors of 63860

List of positive integer factors of 63860 that divides 63842 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 103, 124, 155, 206, 310, 412, 515, 620, 1030, 2060, 3193, 6386, 12772, 15965, 31930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63842 and 63860. The biggest common factor number is the GCF number.
So the greatest common factor 63842 and 63860 is 2.

Also check out the Least Common Multiple of 63842 and 63860