What is the Greatest Common Factor of 63902 and 63922?

Greatest common factor (GCF) of 63902 and 63922 is 2.

GCF(63902,63922) = 2

We will now calculate the prime factors of 63902 and 63922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63902 and 63922.

How to find the GCF of 63902 and 63922?

We will first find the prime factorization of 63902 and 63922. After we will calculate the factors of 63902 and 63922 and find the biggest common factor number .

Step-1: Prime Factorization of 63902

Prime factors of 63902 are 2, 89, 359. Prime factorization of 63902 in exponential form is:

63902 = 2¹ × 89¹ × 359¹

Step-2: Prime Factorization of 63922

Prime factors of 63922 are 2, 31, 1031. Prime factorization of 63922 in exponential form is:

63922 = 2¹ × 31¹ × 1031¹

Step-3: Factors of 63902

List of positive integer factors of 63902 that divides 63902 without a remainder.

1, 2, 89, 178, 359, 718, 31951

Step-4: Factors of 63922

List of positive integer factors of 63922 that divides 63902 without a remainder.

1, 2, 31, 62, 1031, 2062, 31961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63902 and 63922. The biggest common factor number is the GCF number.
So the greatest common factor 63902 and 63922 is 2.

Also check out the Least Common Multiple of 63902 and 63922