What is the Greatest Common Factor of 63930 and 63948?

Greatest common factor (GCF) of 63930 and 63948 is 6.

GCF(63930,63948) = 6

We will now calculate the prime factors of 63930 and 63948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63930 and 63948.

How to find the GCF of 63930 and 63948?

We will first find the prime factorization of 63930 and 63948. After we will calculate the factors of 63930 and 63948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63948

Prime factors of 63948 are 2, 3, 73. Prime factorization of 63948 in exponential form is:

63948 = 2² × 3¹ × 73²

Step-3: Factors of 63930

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

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

Step-4: Factors of 63948

List of positive integer factors of 63948 that divides 63930 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876, 5329, 10658, 15987, 21316, 31974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63930 and 63948. The biggest common factor number is the GCF number.
So the greatest common factor 63930 and 63948 is 6.

Also check out the Least Common Multiple of 63930 and 63948