What is the Greatest Common Factor of 63769 and 63784?

Greatest common factor (GCF) of 63769 and 63784 is 1.

GCF(63769,63784) = 1

We will now calculate the prime factors of 63769 and 63784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63769 and 63784.

How to find the GCF of 63769 and 63784?

We will first find the prime factorization of 63769 and 63784. After we will calculate the factors of 63769 and 63784 and find the biggest common factor number .

Step-1: Prime Factorization of 63769

Prime factors of 63769 are 43, 1483. Prime factorization of 63769 in exponential form is:

63769 = 43¹ × 1483¹

Step-2: Prime Factorization of 63784

Prime factors of 63784 are 2, 7, 17, 67. Prime factorization of 63784 in exponential form is:

63784 = 2³ × 7¹ × 17¹ × 67¹

Step-3: Factors of 63769

List of positive integer factors of 63769 that divides 63769 without a remainder.

1, 43, 1483

Step-4: Factors of 63784

List of positive integer factors of 63784 that divides 63769 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 67, 68, 119, 134, 136, 238, 268, 469, 476, 536, 938, 952, 1139, 1876, 2278, 3752, 4556, 7973, 9112, 15946, 31892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63769 and 63784. The biggest common factor number is the GCF number.
So the greatest common factor 63769 and 63784 is 1.

Also check out the Least Common Multiple of 63769 and 63784