What is the Greatest Common Factor of 63922 and 63930?

Greatest common factor (GCF) of 63922 and 63930 is 2.

GCF(63922,63930) = 2

We will now calculate the prime factors of 63922 and 63930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63922 and 63930.

How to find the GCF of 63922 and 63930?

We will first find the prime factorization of 63922 and 63930. After we will calculate the factors of 63922 and 63930 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63930

Prime factors of 63930 are 2, 3, 5, 2131. Prime factorization of 63930 in exponential form is:

63930 = 2¹ × 3¹ × 5¹ × 2131¹

Step-3: Factors of 63922

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

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

Step-4: Factors of 63930

List of positive integer factors of 63930 that divides 63922 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2131, 4262, 6393, 10655, 12786, 21310, 31965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63922 and 63930. The biggest common factor number is the GCF number.
So the greatest common factor 63922 and 63930 is 2.

Also check out the Least Common Multiple of 63922 and 63930