What is the Greatest Common Factor of 63938 and 63945?

Greatest common factor (GCF) of 63938 and 63945 is 7.

GCF(63938,63945) = 7

We will now calculate the prime factors of 63938 and 63945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63938 and 63945.

How to find the GCF of 63938 and 63945?

We will first find the prime factorization of 63938 and 63945. After we will calculate the factors of 63938 and 63945 and find the biggest common factor number .

Step-1: Prime Factorization of 63938

Prime factors of 63938 are 2, 7, 4567. Prime factorization of 63938 in exponential form is:

63938 = 2¹ × 7¹ × 4567¹

Step-2: Prime Factorization of 63945

Prime factors of 63945 are 3, 5, 7, 29. Prime factorization of 63945 in exponential form is:

63945 = 3² × 5¹ × 7² × 29¹

Step-3: Factors of 63938

List of positive integer factors of 63938 that divides 63938 without a remainder.

1, 2, 7, 14, 4567, 9134, 31969

Step-4: Factors of 63945

List of positive integer factors of 63945 that divides 63938 without a remainder.

1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 49, 63, 87, 105, 145, 147, 203, 245, 261, 315, 435, 441, 609, 735, 1015, 1305, 1421, 1827, 2205, 3045, 4263, 7105, 9135, 12789, 21315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63938 and 63945. The biggest common factor number is the GCF number.
So the greatest common factor 63938 and 63945 is 7.

Also check out the Least Common Multiple of 63938 and 63945