What is the Greatest Common Factor of 63919 and 63936?

Greatest common factor (GCF) of 63919 and 63936 is 1.

GCF(63919,63936) = 1

We will now calculate the prime factors of 63919 and 63936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63919 and 63936.

How to find the GCF of 63919 and 63936?

We will first find the prime factorization of 63919 and 63936. After we will calculate the factors of 63919 and 63936 and find the biggest common factor number .

Step-1: Prime Factorization of 63919

Prime factors of 63919 are 41, 1559. Prime factorization of 63919 in exponential form is:

63919 = 41¹ × 1559¹

Step-2: Prime Factorization of 63936

Prime factors of 63936 are 2, 3, 37. Prime factorization of 63936 in exponential form is:

63936 = 2⁶ × 3³ × 37¹

Step-3: Factors of 63919

List of positive integer factors of 63919 that divides 63919 without a remainder.

1, 41, 1559

Step-4: Factors of 63936

List of positive integer factors of 63936 that divides 63919 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 37, 48, 54, 64, 72, 74, 96, 108, 111, 144, 148, 192, 216, 222, 288, 296, 333, 432, 444, 576, 592, 666, 864, 888, 999, 1184, 1332, 1728, 1776, 1998, 2368, 2664, 3552, 3996, 5328, 7104, 7992, 10656, 15984, 21312, 31968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63919 and 63936. The biggest common factor number is the GCF number.
So the greatest common factor 63919 and 63936 is 1.

Also check out the Least Common Multiple of 63919 and 63936